Is 72709733 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 72 709 733 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 72 709 733, the only two divisors are 1 and 72 709 733. Therefore 72 709 733 is a prime number.
As a consequence, 72 709 733 is only a multiple of 1 and 72 709 733.
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Since 72709733 is a prime number, 72709733 is also a deficient number, that is to say 72709733 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 72709733 without 72709733 itself (that is 1, by definition!).