72616257 has 40 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 41000256.

The previous prime is 72616249. The next prime is 72616277. The reversal of 72616257 is 75261627.

72616257 is a `hidden beast` number, since 7 + 26 + 1 + 625 + 7 = 666.

It is not a de Polignac number, because 72616257 - 2³ = 72616249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72616277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49744 + ... + 51182.

It is an arithmetic number, because the mean of its divisors is an integer number (3136320).

Almost surely, 2^72616257 is an apocalyptic number.

It is an amenable number.

72616257 is a deficient number, since it is larger than the sum of its proper divisors (52836543).

72616257 is a wasteful number, since it uses less digits than its factorization.

72616257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1538 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72616257 is about 8521.5172944729. The cubic root of 72616257 is about 417.2003074720.

The spelling of 72616257 in words is "seventy-two million, six hundred sixteen thousand, two hundred fifty-seven".