258372 has 18 divisors (see below), whose sum is σ = 653198. Its totient is φ = 86112.

The previous prime is 258353. The next prime is 258373. The reversal of 258372 is 273852.

258372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 4356 = 504^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258372.

It is not an unprimeable number, because it can be changed into a prime (258373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3553 + ... + 3624.

2²⁵⁸³⁷² is an apocalyptic number.

It is an amenable number.

258372 is an abundant number, since it is smaller than the sum of its proper divisors (394826).

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

258372 is a wasteful number, since it uses less digits than its factorization.

258372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7182 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 258372 is about 508.3030592078. The cubic root of 258372 is about 63.6915496546.

It can be divided in two parts, 258 and 372, that added together give a triangular number (630 = T₃₅).

The spelling of 258372 in words is "two hundred fifty-eight thousand, three hundred seventy-two".