152872 has 16 divisors (see below), whose sum is σ = 291060. Its totient is φ = 75264.

The previous prime is 152857. The next prime is 152879. The reversal of 152872 is 278251.

It can be written as a sum of positive squares in 2 ways, for example, as 139876 + 12996 = 374^2 + 114^2 .

It is not an unprimeable number, because it can be changed into a prime (152879) by changing a digit.

152872 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 678 + ... + 874.

2¹⁵²⁸⁷² is an apocalyptic number.

It is an amenable number.

152872 is a deficient number, since it is larger than the sum of its proper divisors (138188).

152872 is a wasteful number, since it uses less digits than its factorization.

152872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 152872 is about 390.9884908792. The cubic root of 152872 is about 53.4698930965.

It can be divided in two parts, 1528 and 72, that added together give a square (1600 = 40²).

The spelling of 152872 in words is "one hundred fifty-two thousand, eight hundred seventy-two".