72681357 has 64 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 38187072.

The previous prime is 72681353. The next prime is 72681359. The reversal of 72681357 is 75318627.

It is not a de Polignac number, because 72681357 - 2² = 72681353 is a prime.

It is a super-2 number, since 2×72681357² = 10565159310722898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72681353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 875638 + ... + 875720.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^72681357 is an apocalyptic number.

It is an amenable number.

72681357 is a deficient number, since it is larger than the sum of its proper divisors (49891443).

72681357 is a wasteful number, since it uses less digits than its factorization.

72681357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 72681357 is about 8525.3361810547. The cubic root of 72681357 is about 417.3249426845.

The spelling of 72681357 in words is "seventy-two million, six hundred eighty-one thousand, three hundred fifty-seven".