Is 72607429 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 72 607 429 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 72 607 429, the only two divisors are 1 and 72 607 429. Therefore 72 607 429 is a prime number.
As a consequence, 72 607 429 is only a multiple of 1 and 72 607 429.
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Since 72607429 is a prime number, 72607429 is also a deficient number, that is to say 72607429 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 72607429 without 72607429 itself (that is 1, by definition!).