558272 has 56 divisors (see below), whose sum is σ = 1322832. Its totient is φ = 230400.

The previous prime is 558253. The next prime is 558287. The reversal of 558272 is 272855.

It is an Ulam number.

It is an unprimeable number.

558272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9122 + ... + 9182.

It is an arithmetic number, because the mean of its divisors is an integer number (23622).

2⁵⁵⁸²⁷² is an apocalyptic number.

558272 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 558272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661416).

558272 is an abundant number, since it is smaller than the sum of its proper divisors (764560).

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

558272 is a wasteful number, since it uses less digits than its factorization.

558272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 558272 is about 747.1760167457. The cubic root of 558272 is about 82.3408379172.

The spelling of 558272 in words is "five hundred fifty-eight thousand, two hundred seventy-two".