157972 has 12 divisors (see below), whose sum is σ = 280756. Its totient is φ = 77760.

The previous prime is 157951. The next prime is 157991. The reversal of 157972 is 279751.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 81796 = 276^2 + 286^2 .

It is an Ulam number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 562.

2¹⁵⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

157972 is a deficient number, since it is larger than the sum of its proper divisors (122784).

157972 is a wasteful number, since it uses less digits than its factorization.

157972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 616 counting only the distinct ones).

The product of its digits is 4410, while the sum is 31.

The square root of 157972 is about 397.4569159041. The cubic root of 157972 is about 54.0580080801.

The spelling of 157972 in words is "one hundred fifty-seven thousand, nine hundred seventy-two".