72541590 has 32 divisors (see below), whose sum is σ = 189927936. Its totient is φ = 17585760.

The previous prime is 72541541. The next prime is 72541619. The reversal of 72541590 is 9514527.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 109582 + ... + 110241.

It is an arithmetic number, because the mean of its divisors is an integer number (5935248).

Almost surely, 2^72541590 is an apocalyptic number.

72541590 is an abundant number, since it is smaller than the sum of its proper divisors (117386346).

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

72541590 is a wasteful number, since it uses less digits than its factorization.

72541590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219844.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 72541590 is about 8517.1350817044. The cubic root of 72541590 is about 417.0572643037.

The spelling of 72541590 in words is "seventy-two million, five hundred forty-one thousand, five hundred ninety".