Can your pet open doors?

I have a 7 year old Great Dane that is the size of a small horse. This dog is too smart for his own good. He can not only open the backdoor to let himself out, but he can manage to open it back up! He can also turn on one of the faucets in the laundry room where he is tall enough to drink from the spout. It a door is just pulled shut, he uses his nose to nudge it until it comes open. In the middle of the night he does this, and makes me think we are getting robbed!