72985257 has 12 divisors (see below), whose sum is σ = 109058820. Its totient is φ = 46978848.

The previous prime is 72985247. The next prime is 72985261. The reversal of 72985257 is 75258927.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 55041561 = 4236^2 + 7419^2 .

It is not a de Polignac number, because 72985257 - 2¹⁸ = 72723113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72985217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 139558 + ... + 140079.

It is an arithmetic number, because the mean of its divisors is an integer number (9088235).

Almost surely, 2^72985257 is an apocalyptic number.

It is an amenable number.

72985257 is a deficient number, since it is larger than the sum of its proper divisors (36073563).

72985257 is a wasteful number, since it uses less digits than its factorization.

72985257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279672 (or 279669 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 72985257 is about 8543.1409329356. The cubic root of 72985257 is about 417.9057825851.

The spelling of 72985257 in words is "seventy-two million, nine hundred eighty-five thousand, two hundred fifty-seven".