259872 has 24 divisors (see below), whose sum is σ = 682416. Its totient is φ = 86592.

The previous prime is 259867. The next prime is 259907. The reversal of 259872 is 278952.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1258 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (28434).

2²⁵⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

259872 is an abundant number, since it is smaller than the sum of its proper divisors (422544).

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

259872 is a wasteful number, since it uses less digits than its factorization.

259872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2712 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 259872 is about 509.7764215811. The cubic root of 259872 is about 63.8145674161.

The spelling of 259872 in words is "two hundred fifty-nine thousand, eight hundred seventy-two".