Is 71725009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 71 725 009 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 71 725 009, the only two divisors are 1 and 71 725 009. Therefore 71 725 009 is a prime number.
As a consequence, 71 725 009 is only a multiple of 1 and 71 725 009.
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Since 71725009 is a prime number, 71725009 is also a deficient number, that is to say 71725009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 71725009 without 71725009 itself (that is 1, by definition!).