72517164 has 12 divisors (see below), whose sum is σ = 169206744. Its totient is φ = 24172384.

The previous prime is 72517097. The next prime is 72517169. The reversal of 72517164 is 46171527.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (72517169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3021537 + ... + 3021560.

It is an arithmetic number, because the mean of its divisors is an integer number (14100562).

Almost surely, 2^72517164 is an apocalyptic number.

It is an amenable number.

72517164 is an abundant number, since it is smaller than the sum of its proper divisors (96689580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72517164 is a wasteful number, since it uses less digits than its factorization.

72517164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043104 (or 6043102 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 72517164 is about 8515.7010281010. The cubic root of 72517164 is about 417.0104489328.

The spelling of 72517164 in words is "seventy-two million, five hundred seventeen thousand, one hundred sixty-four".