Is 72118223 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 72 118 223 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 72 118 223, the only two divisors are 1 and 72 118 223. Therefore 72 118 223 is a prime number.
As a consequence, 72 118 223 is only a multiple of 1 and 72 118 223.
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Since 72118223 is a prime number, 72118223 is also a deficient number, that is to say 72118223 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 72118223 without 72118223 itself (that is 1, by definition!).