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If it's your razor, in your rotation, alcohol is fine, IMO. I use a soft toothbrush & liquid soap to scrub out the head of my Gillette after each blade is used & a fresh one put in.

I don't know that particular razor , as to what was used to seal the wood, but I'm sure something was, since it will come in contact with water eventually. If you don't want to risk Barbicide for 5...