72540165 has 32 divisors (see below), whose sum is σ = 123338880. Its totient is φ = 36336384.

The previous prime is 72540161. The next prime is 72540187. The reversal of 72540165 is 56104527.

It is not a de Polignac number, because 72540165 - 2² = 72540161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72540161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13842 + ... + 18348.

It is an arithmetic number, because the mean of its divisors is an integer number (3854340).

Almost surely, 2^72540165 is an apocalyptic number.

It is an amenable number.

72540165 is a deficient number, since it is larger than the sum of its proper divisors (50798715).

72540165 is a wasteful number, since it uses less digits than its factorization.

72540165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72540165 is about 8517.0514264034. The cubic root of 72540165 is about 417.0545334083.

The spelling of 72540165 in words is "seventy-two million, five hundred forty thousand, one hundred sixty-five".