In the scene when the phone in the suitcase rings, when Bob Hope's character finally gets it out, the receiver is off the hook.
When the instructor throws Peanuts White over his shoulder in the agency office you can clearly see it's a stuntman with completely different hair, not Bob Hope.
At the very end of Hope's song and dance number "Taking a Fall," his stunt stand-in can be clearly seen taking the final fall. His hair is much darker, and his hairline is different.
When White/Augustine is seen standing with the "valet" upon first meeting him in the hotel room, his head and the top of the valet's fez are about even. A moment later when the valet is getting ready to throw White/Augustine to the ground, Augustine is suddenly standing four or five inches taller than the valet, has a different hairline, and sports hair that is much darker. This is very obviously a stunt double used for the shot, as Augustine gets violently slammed to the ground.
Tangier is in Morocco, but instead of speaking French or Arabic, the natives are speaking Spanish. This is most evident during the scene where the house is on fire with the firemen yelling in Spanish to spray the water on the house.
The fire engine has "Tangier Fire Dept." marked in English, when it should have been marked in French.