Yes, disposable razors are fully permitted in both checked baggage and carry-on luggage. This includes both the type where the entire razor is discarded and the "cartridge" type where only the head is replaced. Because the blades are permanently fixed or "cartridged" into a plastic housing, they are not considered a security risk. This is a common point of confusion: safety razors (with removable blades) and straight razors are restricted—the loose blades for these must go in checked baggage and are prohibited in carry-on bags. For checked luggage, it is still recommended to keep your disposable razors in a protective case or toiletry bag to prevent them from cutting through your bag or injuring baggage handlers who may need to inspect your luggage.