258728272 has 80 divisors (see below), whose sum is σ = 570981312. Its totient is φ = 112527360.

The previous prime is 258728243. The next prime is 258728293. The reversal of 258728272 is 272827852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436008 + ... + 436600.

Almost surely, 2^258728272 is an apocalyptic number.

258728272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258728272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285490656).

258728272 is an abundant number, since it is smaller than the sum of its proper divisors (312253040).

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

258728272 is a wasteful number, since it uses less digits than its factorization.

258728272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its digits is 250880, while the sum is 43.

The square root of 258728272 is about 16085.0325458172. The cubic root of 258728272 is about 637.2081120247.

The spelling of 258728272 in words is "two hundred fifty-eight million, seven hundred twenty-eight thousand, two hundred seventy-two".