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I've read that cocaine can
The biological half-life of
The way half-life works is that there could still be a little bit after 72 hours, but it would be 1 divided by 2-to-the-72nd power of what you originally took, which I'm going to call a gazillionth. I think the only way it would still be doing something is if it had just about killed you to start with (which is possible with a large overdose).
PS - it occurs to me that you might be more interested in the timespan during which cocaine use can be detected, rather than how long the drug effect lasts. Like most drug testing, cocaine tests look for metabolites rather than the original substance, and those can stick around much longer. The half-life of the major metabolite of cocaine (which is the hard-to-spell "benzoylecgonine") is about 6-7 hours, which means there could still be a detectable amount in the bloodstream or urine after 72 hours - that might be what you'd heard.