It's not polarized because it doesn't need to be. It's an intelligent charger and simply uses the current from either leg that is hot. Polarizing plugs is typically done to keep the hot lead from getting associated with the ground internally in AC powered equipment, but it's unnecessary for the RAZR charger since the AC Side is completely isolated internally from any external connection. Also, since the case is plastic there's no risk of shock.
You may have at times felt a strange sensation, a vibration or other very faint shock when touching or rubbing your hand across the metal cabinet of a device such as a toaster or other appliance. If so, that appliance was either plugged into an outlet that was wired incorrectly or the plug was wired backwards, putting the hot lead where the neutral should have been. That brings a risk of shock if you touch the case and a ground such as a water pipe, and is the reason they created the polarized plug. The wide lead is the neutral and the narrow is the hot. The fact that a polarized plug has a wide prong on one side has nothing to do with how loose or tight it fits into the wall outlet.
Now for the plug pulling out of the wall, that's a problem with the wall outlet. The outlet leads are each a pair of prongs arranged in a way to pinch the plug prongs and clamp them tight. If the plug inserts and pulls put too easily the outlet should be replaced. If the contacts don't grip the prongs tight, resistance can build up in the outlet while running high current appliances such as space heaters or vacuum cleaners, and the outlet can overheat bringing a risk of fire in the wall, or throw sparks put of the outlet and light the carpet or curtains ablaze. I had a plug actually arc-weld its hot lead completely off in a faulty socket, scared the $#1+ out of me watching it light up and hear the buzzing.
I highly recommend spending a couple bucks and replacing the outlet. You'll never complain about the plug pulling out again, and may very well save your home from a fire. The new outlet will be fairly tight the first few times you plug something in, but it'll get easier.
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