diff --git a/openapi_core/unmarshalling/schemas/__init__.py b/openapi_core/unmarshalling/schemas/__init__.py
index 9011bcc3..bb0aa65f 100644
--- a/openapi_core/unmarshalling/schemas/__init__.py
+++ b/openapi_core/unmarshalling/schemas/__init__.py
@@ -36,12 +36,12 @@
 
 oas30_unmarshallers_dict = OrderedDict(
     [
-        ("string", PrimitiveUnmarshaller),
+        ("object", ObjectUnmarshaller),
+        ("array", ArrayUnmarshaller),
+        ("boolean", PrimitiveUnmarshaller),
         ("integer", PrimitiveUnmarshaller),
         ("number", PrimitiveUnmarshaller),
-        ("boolean", PrimitiveUnmarshaller),
-        ("array", ArrayUnmarshaller),
-        ("object", ObjectUnmarshaller),
+        ("string", PrimitiveUnmarshaller),
     ]
 )
 oas31_unmarshallers_dict = oas30_unmarshallers_dict.copy()
diff --git a/openapi_core/unmarshalling/schemas/unmarshallers.py b/openapi_core/unmarshalling/schemas/unmarshallers.py
index 2387541b..27c63179 100644
--- a/openapi_core/unmarshalling/schemas/unmarshallers.py
+++ b/openapi_core/unmarshalling/schemas/unmarshallers.py
@@ -167,18 +167,9 @@ def _get_best_unmarshaller(self, value: Any) -> "PrimitiveUnmarshaller":
 
 
 class AnyUnmarshaller(MultiTypeUnmarshaller):
-    SCHEMA_TYPES_ORDER = [
-        "object",
-        "array",
-        "boolean",
-        "integer",
-        "number",
-        "string",
-    ]
-
     @property
     def type(self) -> List[str]:
-        return self.SCHEMA_TYPES_ORDER
+        return self.schema_unmarshaller.types_unmarshaller.get_types()
 
 
 class TypesUnmarshaller:
@@ -195,6 +186,9 @@ def __init__(
         self.default = default
         self.multi = multi
 
+    def get_types(self) -> List[str]:
+        return list(self.unmarshallers.keys())
+
     def get_unmarshaller(
         self,
         schema_type: Optional[Union[Iterable[str], str]],
diff --git a/tests/integration/unmarshalling/test_unmarshallers.py b/tests/integration/unmarshalling/test_unmarshallers.py
index 7574a59c..3040adda 100644
--- a/tests/integration/unmarshalling/test_unmarshallers.py
+++ b/tests/integration/unmarshalling/test_unmarshallers.py
@@ -2059,3 +2059,12 @@ def test_nultiple_types_invalid(self, unmarshallers_factory, types, value):
             unmarshaller.unmarshal(value)
         assert len(exc_info.value.schema_errors) == 1
         assert "is not of type" in exc_info.value.schema_errors[0].message
+
+    def test_any_null(self, unmarshallers_factory):
+        schema = {}
+        spec = Spec.from_dict(schema, validator=None)
+        unmarshaller = unmarshallers_factory.create(spec)
+
+        result = unmarshaller.unmarshal(None)
+
+        assert result is None