291872 has 24 divisors (see below), whose sum is σ = 657216. Its totient is φ = 124992.

The previous prime is 291869. The next prime is 291877. The reversal of 291872 is 278192.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 291872.

It is not an unprimeable number, because it can be changed into a prime (291877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (27384).

2²⁹¹⁸⁷² is an apocalyptic number.

It is an amenable number.

291872 is an abundant number, since it is smaller than the sum of its proper divisors (365344).

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

291872 is a wasteful number, since it uses less digits than its factorization.

291872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1312 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 291872 is about 540.2517931483. The cubic root of 291872 is about 66.3331790159. Note that the first 3 decimals are identical.

The spelling of 291872 in words is "two hundred ninety-one thousand, eight hundred seventy-two".