One of the jokes goes into a lot of detail on how to clean your cat. Basically, put some soap in the toilet, toss in the cat, close the lid and stand on it. The cat provides the appropriate agitation. Flush a few times to rinse. Have somebody else clear a path to the door outside. Open the lid and the cat will go outside to self dry. An extra perk is that the toilet will then be clean too.
A number of years ago, I read an earnest women's mag how-to on how to bathe your cat. The pull-quote was "Don't leave the cat in the sink longer than necessary." I cut this out and kept it on the refrigerator for years, to remind me not to leave the cat soaking overnight in the sink..