580272 has 80 divisors (see below), whose sum is σ = 1880832. Its totient is φ = 149760.

The previous prime is 580259. The next prime is 580291. The reversal of 580272 is 272085.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580272.

It is an unprimeable number.

580272 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 15 ways as a sum of consecutive naturals, for example, 3618 + ... + 3774.

2⁵⁸⁰²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940416).

580272 is an abundant number, since it is smaller than the sum of its proper divisors (1300560).

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

580272 is a wasteful number, since it uses less digits than its factorization.

580272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

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

The square root of 580272 is about 761.7558664034. The cubic root of 580272 is about 83.4085436560.

The spelling of 580272 in words is "five hundred eighty thousand, two hundred seventy-two".