72915917 has 16 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 68208000.

The previous prime is 72915883. The next prime is 72915929. The reversal of 72915917 is 71951927.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72915917 - 2⁶ = 72915853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72915617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103667 + ... + 104367.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^72915917 is an apocalyptic number.

It is an amenable number.

72915917 is a deficient number, since it is larger than the sum of its proper divisors (4921843).

72915917 is a wasteful number, since it uses less digits than its factorization.

72915917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844.

The product of its digits is 39690, while the sum is 41.

The square root of 72915917 is about 8539.0817422016. The cubic root of 72915917 is about 417.7733961746.

The spelling of 72915917 in words is "seventy-two million, nine hundred fifteen thousand, nine hundred seventeen".