Is 72675509 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 72 675 509 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 72 675 509, the only two divisors are 1 and 72 675 509. Therefore 72 675 509 is a prime number.
As a consequence, 72 675 509 is only a multiple of 1 and 72 675 509.
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Since 72675509 is a prime number, 72675509 is also a deficient number, that is to say 72675509 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 72675509 without 72675509 itself (that is 1, by definition!).