How long before a rhinoplasty should I stop taking Ibuprofen?

I would make sure you follow your doctor's recommendations, but ibuprofen's effect on platelets is gone within 48 hours of stopping the medication.  So as long as you haven't taken within a few days of surgery then you should be fine.     

Thank you for the question! As long as you discontinue Ibuprofen one week or more prior to surgery, it should not pose risks to your procedure or recovery process. It's always best to disclose a complete list of your medication to your plastic surgeon, however, so I would definitely bring this up during a consultation with your surgeon. 
An in-person exam with a board-certified plastic surgeon would be the best way to assess your needs and obtain a reliable medical advice. Best of luck!