Is 72678071 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 72 678 071 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 72 678 071, the only two divisors are 1 and 72 678 071. Therefore 72 678 071 is a prime number.
As a consequence, 72 678 071 is only a multiple of 1 and 72 678 071.
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Since 72678071 is a prime number, 72678071 is also a deficient number, that is to say 72678071 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 72678071 without 72678071 itself (that is 1, by definition!).