Try it at another person's place and if it doesn't exhibit the issue there then it's probably your electrical system or something at your place causing the issue. If the problem is exhibited at the other person's place too then it's the AVR in which case you should ask Denon for a replacement.
Another thing to check is whether it's just you or another person (s) who also experiences the same sensation when touching the AVR.
The AVR power button is plastic right? In which case there should be no sensation of electricity when touching it. The metal chassis can conduct but not the plastics.
You mention static build up. Try grounding yourself by touching something metal before touching the AVR and see if you still experience the same feeling. If you do then it's not static build up but a low voltage flowing through the unit.
I presume all cables have been disconnected from the AVR other than the power cord right?
Does the AVR have a standby mode (i.e.) when you switch off using the remote but the switch at the socket is still on. In this case the power indicator will be orange instead of green (at least for Marantz AVRs). Do you also experience the vibration/hum and/or voltage when AVR in standby also?
Check your electrical wiring using something like this
https://amzn.in/d/39nXkWD to rule out wiring issues.