72165935 has 16 divisors (see below), whose sum is σ = 92407392. Its totient is φ = 53913600.

The previous prime is 72165931. The next prime is 72165941. The reversal of 72165935 is 53956127.

It is a happy number.

It is not a de Polignac number, because 72165935 - 2² = 72165931 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72165931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7895 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (5775462).

Almost surely, 2^72165935 is an apocalyptic number.

72165935 is a deficient number, since it is larger than the sum of its proper divisors (20241457).

72165935 is a wasteful number, since it uses less digits than its factorization.

72165935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634.

The product of its digits is 56700, while the sum is 38.

The square root of 72165935 is about 8495.0535607493. The cubic root of 72165935 is about 416.3361108059.

The spelling of 72165935 in words is "seventy-two million, one hundred sixty-five thousand, nine hundred thirty-five".