76572 has 24 divisors (see below), whose sum is σ = 198800. Its totient is φ = 25488.

The previous prime is 76561. The next prime is 76579. The reversal of 76572 is 27567.

76572 is a `hidden beast` number, since 7 + 657 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76579) by changing a digit.

76572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 462.

2⁷⁶⁵⁷² is an apocalyptic number.

It is an amenable number.

76572 is an abundant number, since it is smaller than the sum of its proper divisors (122228).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99400).

76572 is a wasteful number, since it uses less digits than its factorization.

76572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 76572 is about 276.7164613824. The cubic root of 76572 is about 42.4642375047.

The spelling of 76572 in words is "seventy-six thousand, five hundred seventy-two".