72886257 has 32 divisors (see below), whose sum is σ = 110626560. Its totient is φ = 47416320.

The previous prime is 72886249. The next prime is 72886267. The reversal of 72886257 is 75268827.

It is not a de Polignac number, because 72886257 - 2³ = 72886249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72886267) 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 31 ways as a sum of consecutive naturals, for example, 369883 + ... + 370079.

It is an arithmetic number, because the mean of its divisors is an integer number (3457080).

Almost surely, 2^72886257 is an apocalyptic number.

It is an amenable number.

72886257 is a deficient number, since it is larger than the sum of its proper divisors (37740303).

72886257 is a wasteful number, since it uses less digits than its factorization.

72886257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 72886257 is about 8537.3448448566. The cubic root of 72886257 is about 417.7167426119.

The spelling of 72886257 in words is "seventy-two million, eight hundred eighty-six thousand, two hundred fifty-seven".