72590857 has 8 divisors (see below), whose sum is σ = 75191040. Its totient is φ = 69997200.

The previous prime is 72590851. The next prime is 72590911. The reversal of 72590857 is 75809527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72590857 - 2¹⁵ = 72558089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72590851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36232 + ... + 38182.

It is an arithmetic number, because the mean of its divisors is an integer number (9398880).

Almost surely, 2^72590857 is an apocalyptic number.

It is an amenable number.

72590857 is a deficient number, since it is larger than the sum of its proper divisors (2600183).

72590857 is a wasteful number, since it uses less digits than its factorization.

72590857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263.

The product of its (nonzero) digits is 176400, while the sum is 43.

The square root of 72590857 is about 8520.0268192066. The cubic root of 72590857 is about 417.1516584778.

The spelling of 72590857 in words is "seventy-two million, five hundred ninety thousand, eight hundred fifty-seven".