Does this happen in just the bathroom receptacle? Is that bathroom receptacle a GCFI?
Try running the dryer on another outlet. If the hum persists you may have a grounding issue at the main panel. If there is no hum, check to see if the bathroom outlet has the wires secured/installed correctly.
Try running the dryer on another outlet. If the hum persists you may have a grounding issue at the main panel. If there is no hum, check to see if the bathroom outlet has the wires secured/installed correctly.