72850257 has 12 divisors (see below), whose sum is σ = 105515124. Its totient is φ = 48434400.

The previous prime is 72850187. The next prime is 72850333. The reversal of 72850257 is 75205827.

It can be written as a sum of positive squares in 2 ways, for example, as 53056656 + 19793601 = 7284^2 + 4449^2 .

It is not a de Polignac number, because 72850257 - 2¹⁵ = 72817489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72850157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7494 + ... + 14207.

It is an arithmetic number, because the mean of its divisors is an integer number (8792927).

Almost surely, 2^72850257 is an apocalyptic number.

It is an amenable number.

72850257 is a deficient number, since it is larger than the sum of its proper divisors (32664867).

72850257 is a wasteful number, since it uses less digits than its factorization.

72850257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22080 (or 22077 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72850257 is about 8535.2362005981. The cubic root of 72850257 is about 417.6479583634.

The spelling of 72850257 in words is "seventy-two million, eight hundred fifty thousand, two hundred fifty-seven".