258272 has 24 divisors (see below), whose sum is σ = 581616. Its totient is φ = 110592.

The previous prime is 258253. The next prime is 258277. The reversal of 258272 is 272852.

258272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258272.

It is not an unprimeable number, because it can be changed into a prime (258277) by changing a digit.

258272 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, 353 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (24234).

2²⁵⁸²⁷² is an apocalyptic number.

It is an amenable number.

258272 is an abundant number, since it is smaller than the sum of its proper divisors (323344).

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

258272 is a wasteful number, since it uses less digits than its factorization.

258272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 258272 is about 508.2046831740. The cubic root of 258272 is about 63.6833315597.

The spelling of 258272 in words is "two hundred fifty-eight thousand, two hundred seventy-two".