This raises a good point.  Many restaurant and store washrooms, and even hospital washrooms, no longer have paper towels, so you have to grab the handle directly in order to open the door and leave.  Of course, you can assume that handle is filthy and potentially contaminated. 

Even if there's a bottle of alcohol sanitizer on the wall outside, that isn't going to help you.  I suspect that leads to transmission of norovirus.

Provincial health departments should require that all public washrooms should have paper towels provided if the door or entryway is not designed to be touch-free.