72131657 has 16 divisors (see below), whose sum is σ = 85330560. Its totient is φ = 60331392.

The previous prime is 72131641. The next prime is 72131677. The reversal of 72131657 is 75613127.

It is not a de Polignac number, because 72131657 - 2⁴ = 72131641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72131677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668 + ... + 12029.

It is an arithmetic number, because the mean of its divisors is an integer number (5333160).

Almost surely, 2^72131657 is an apocalyptic number.

It is an amenable number.

72131657 is a deficient number, since it is larger than the sum of its proper divisors (13198903).

72131657 is a wasteful number, since it uses less digits than its factorization.

72131657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752.

The product of its digits is 8820, while the sum is 32.

The square root of 72131657 is about 8493.0357941080. The cubic root of 72131657 is about 416.2701820573.

The spelling of 72131657 in words is "seventy-two million, one hundred thirty-one thousand, six hundred fifty-seven".