580072 has 16 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 280560.

The previous prime is 580033. The next prime is 580079. The reversal of 580072 is 270085.

580072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580079) by changing a digit.

580072 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, 922 + ... + 1417.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

2⁵⁸⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

580072 is a deficient number, since it is larger than the sum of its proper divisors (543128).

580072 is a wasteful number, since it uses less digits than its factorization.

580072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 580072 is about 761.6245794353. The cubic root of 580072 is about 83.3989598599.

The spelling of 580072 in words is "five hundred eighty thousand, seventy-two".