72717165 has 24 divisors (see below), whose sum is σ = 130111488. Its totient is φ = 37530720.

The previous prime is 72717137. The next prime is 72717179. The reversal of 72717165 is 56171727.

It is not a de Polignac number, because 72717165 - 2¹⁶ = 72651629 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24669 + ... + 27458.

It is an arithmetic number, because the mean of its divisors is an integer number (5421312).

Almost surely, 2^72717165 is an apocalyptic number.

It is an amenable number.

72717165 is a deficient number, since it is larger than the sum of its proper divisors (57394323).

72717165 is a wasteful number, since it uses less digits than its factorization.

72717165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52169 (or 52166 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 72717165 is about 8527.4360155911. The cubic root of 72717165 is about 417.3934660709.

It can be divided in two parts, 7 and 2717165, that added together give a palindrome (2717172).

The spelling of 72717165 in words is "seventy-two million, seven hundred seventeen thousand, one hundred sixty-five".