Razor Cleaning

You know those Gillette Mach 3® razors? You know how the blades get clogged with hairs sometimes, and it's hard to get them to come out? Today, I accidentally figured it out. If you have a few inches of water in the sink, and you swish the razor parallel to the head (in line with the blades), the hairs come right out. Darnedest thing.

...I wonder if that works with all razors.