258072 has 16 divisors (see below), whose sum is σ = 645240. Its totient is φ = 86016.

The previous prime is 258067. The next prime is 258101. The reversal of 258072 is 270852.

258072 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10753 = 258072 / (2 + 5 + 8 + 0 + 7 + 2).

It is a zygodrome in base 2.

It is a congruent number.

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, 5353 + ... + 5400.

2²⁵⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

258072 is an abundant number, since it is smaller than the sum of its proper divisors (387168).

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

258072 is a wasteful number, since it uses less digits than its factorization.

258072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10762 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 258072 is about 508.0078739547. The cubic root of 258072 is about 63.6668890039. Note that the first 3 decimals are identical.

The spelling of 258072 in words is "two hundred fifty-eight thousand, seventy-two".