72165131 has 2 divisors, whose sum is σ = 72165132. Its totient is φ = 72165130.

The previous prime is 72165127. The next prime is 72165229. The reversal of 72165131 is 13156127.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72165131 - 2² = 72165127 is a prime.

It is a super-2 number, since 2×72165131² = 10415612264494322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72165131.

It is not a weakly prime, because it can be changed into another prime (72165101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082565 + 36082566.

It is an arithmetic number, because the mean of its divisors is an integer number (36082566).

Almost surely, 2^72165131 is an apocalyptic number.

72165131 is a deficient number, since it is larger than the sum of its proper divisors (1).

72165131 is an equidigital number, since it uses as much as digits as its factorization.

72165131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 26.

The square root of 72165131 is about 8495.0062389618. The cubic root of 72165131 is about 416.3345646679.

The spelling of 72165131 in words is "seventy-two million, one hundred sixty-five thousand, one hundred thirty-one".