diff --git a/tabulate/__init__.py b/tabulate/__init__.py
index 12a2950..a602694 100644
--- a/tabulate/__init__.py
+++ b/tabulate/__init__.py
@@ -2287,13 +2287,16 @@ def tabulate(
         list_of_lists, headers = _rst_escape_first_column(list_of_lists, headers)
 
     # PrettyTable formatting does not use any extra padding.
-    # Numbers are not parsed and are treated the same as strings for alignment.
+    # Numbers are not parsed and are treated the same as strings for alignment,
+    # unless the user explicitly asks for numbers to be reformatted by passing
+    # a custom floatfmt or intfmt (issue #71).
     # Check if pretty is the format being used and override the defaults so it
     # does not impact other formats.
     min_padding = MIN_PADDING
     if tablefmt == "pretty":
         min_padding = 0
-        disable_numparse = True
+        if floatfmt == _DEFAULT_FLOATFMT and intfmt == _DEFAULT_INTFMT:
+            disable_numparse = True
         numalign = "center" if numalign == _DEFAULT_ALIGN else numalign
         stralign = "center" if stralign == _DEFAULT_ALIGN else stralign
     else:
diff --git a/test/test_output.py b/test/test_output.py
index ea3da87..221149d 100644
--- a/test/test_output.py
+++ b/test/test_output.py
@@ -2288,6 +2288,37 @@ def test_pretty_headerless():
     assert_equal(expected, result)
 
 
+def test_pretty_floatfmt():
+    "Output: pretty respects an explicitly given floatfmt (issue #71)"
+    expected = "\n".join(
+        [
+            "+---------+---------+",
+            "| strings | numbers |",
+            "+---------+---------+",
+            "|  spam   |  42.00  |",
+            "|  eggs   | 451.00  |",
+            "+---------+---------+",
+        ]
+    )
+    result = tabulate(
+        _test_table, _test_table_headers, tablefmt="pretty", floatfmt=".2f"
+    )
+    assert_equal(expected, result)
+
+
+def test_pretty_intfmt():
+    "Output: pretty respects an explicitly given intfmt (issue #71)"
+    expected = "\n".join(
+        [
+            "+-----+",
+            "| 042 |",
+            "+-----+",
+        ]
+    )
+    result = tabulate([[42]], tablefmt="pretty", intfmt="03d")
+    assert_equal(expected, result)
+
+
 def test_pretty_multiline_headerless():
     "Output: pretty with multiline cells without headers"
     table = [["foo bar\nbaz\nbau", "hello"], ["", "multiline\nworld"]]