72165713 has 2 divisors, whose sum is σ = 72165714. Its totient is φ = 72165712.

The previous prime is 72165689. The next prime is 72165757. The reversal of 72165713 is 31756127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71098624 + 1067089 = 8432^2 + 1033^2 .

It is a cyclic number.

It is not a de Polignac number, because 72165713 - 2²⁴ = 55388497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72165713.

It is not a weakly prime, because it can be changed into another prime (72165413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082856 + 36082857.

It is an arithmetic number, because the mean of its divisors is an integer number (36082857).

Almost surely, 2^72165713 is an apocalyptic number.

It is an amenable number.

72165713 is a deficient number, since it is larger than the sum of its proper divisors (1).

72165713 is an equidigital number, since it uses as much as digits as its factorization.

72165713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 32.

The square root of 72165713 is about 8495.0404943120. The cubic root of 72165713 is about 416.3356838884.

The spelling of 72165713 in words is "seventy-two million, one hundred sixty-five thousand, seven hundred thirteen".