Is there a difference between the words "mubarak" and "mabrouk," and is the word "mabrouk" impermissible to say because it is one of the names of Satan?

There is no difference in meaning between "mabruk" (مبروك) and "mubarak" (مبارك), nor is there any evidence that "mabruk" is one of the names of Satan. "Mabruk" is not from classical Arabic; rather, it is a dialectal term. The correct form is "mubarak" because the verb is quadriliteral, "baraka" (بارك), and its passive participle is "mubarak" (مُبارك), not "mabruk" (مَبروك). The word "mubarak" has been mentioned in the Prophetic Sunnah.