580072272 has 80 divisors (see below), whose sum is σ = 1636645248. Its totient is φ = 175956480.

The previous prime is 580072271. The next prime is 580072289. The reversal of 580072272 is 272270085.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580072271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37758 + ... + 50850.

Almost surely, 2^580072272 is an apocalyptic number.

580072272 is a gapful number since it is divisible by the number (52) 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 580072272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818322624).

580072272 is an abundant number, since it is smaller than the sum of its proper divisors (1056572976).

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

580072272 is a wasteful number, since it uses less digits than its factorization.

580072272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 580072272 is about 24084.6895765754. The cubic root of 580072272 is about 833.9897289536.

The spelling of 580072272 in words is "five hundred eighty million, seventy-two thousand, two hundred seventy-two".