152972 has 12 divisors (see below), whose sum is σ = 270480. Its totient is φ = 75696.

The previous prime is 152959. The next prime is 152981. The reversal of 152972 is 279251.

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 554 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (22540).

2¹⁵²⁹⁷² is an apocalyptic number.

It is an amenable number.

152972 is a deficient number, since it is larger than the sum of its proper divisors (117508).

152972 is a wasteful number, since it uses less digits than its factorization.

152972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 152972 is about 391.1163509750. The cubic root of 152972 is about 53.4815495233.

The spelling of 152972 in words is "one hundred fifty-two thousand, nine hundred seventy-two".