292872 has 16 divisors (see below), whose sum is σ = 732240. Its totient is φ = 97616.

The previous prime is 292867. The next prime is 292879. The reversal of 292872 is 278292.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 292872.

It is not an unprimeable number, because it can be changed into a prime (292879) by changing a digit.

292872 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 3 ways as a sum of consecutive naturals, for example, 6078 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (45765).

2²⁹²⁸⁷² is an apocalyptic number.

It is an amenable number.

292872 is an abundant number, since it is smaller than the sum of its proper divisors (439368).

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

292872 is a wasteful number, since it uses less digits than its factorization.

292872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12208 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 292872 is about 541.1764961637. The cubic root of 292872 is about 66.4088486780.

The spelling of 292872 in words is "two hundred ninety-two thousand, eight hundred seventy-two".