72712169 has 2 divisors, whose sum is σ = 72712170. Its totient is φ = 72712168.

The previous prime is 72712139. The next prime is 72712201. The reversal of 72712169 is 96121727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54760000 + 17952169 = 7400^2 + 4237^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72712169 is a prime.

It is a super-2 number, since 2×72712169² = 10574119041369122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72712139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36356084 + 36356085.

It is an arithmetic number, because the mean of its divisors is an integer number (36356085).

Almost surely, 2^72712169 is an apocalyptic number.

It is an amenable number.

72712169 is a deficient number, since it is larger than the sum of its proper divisors (1).

72712169 is an equidigital number, since it uses as much as digits as its factorization.

72712169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 35.

The square root of 72712169 is about 8527.1430737381. The cubic root of 72712169 is about 417.3839069088.

The spelling of 72712169 in words is "seventy-two million, seven hundred twelve thousand, one hundred sixty-nine".