157572 has 24 divisors (see below), whose sum is σ = 408800. Its totient is φ = 52488.

The previous prime is 157571. The next prime is 157579. The reversal of 157572 is 275751.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (157571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622 + ... + 837.

2¹⁵⁷⁵⁷² is an apocalyptic number.

157572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157572 is an abundant number, since it is smaller than the sum of its proper divisors (251228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157572 is a wasteful number, since it uses less digits than its factorization.

157572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 157572 is about 396.9533977686. The cubic root of 157572 is about 54.0123428576.

It can be divided in two parts, 157 and 572, that added together give a 6-th power (729 = 3⁶).

The spelling of 157572 in words is "one hundred fifty-seven thousand, five hundred seventy-two".