558036072 has 192 divisors, whose sum is σ = 1717934400. Its totient is φ = 162155520.

The previous prime is 558036071. The next prime is 558036077. The reversal of 558036072 is 270630855.

558036072 is a `hidden beast` number, since 5 + 580 + 3 + 6 + 0 + 72 = 666.

It is a super-2 number, since 2×558036072² = 622808515306378368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (558036071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4014579 + ... + 4014717.

It is an arithmetic number, because the mean of its divisors is an integer number (8947575).

Almost surely, 2^558036072 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 558036072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858967200).

558036072 is an abundant number, since it is smaller than the sum of its proper divisors (1159898328).

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

558036072 is a wasteful number, since it uses less digits than its factorization.

558036072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 558036072 is about 23622.7871344598. The cubic root of 558036072 is about 823.2923709271.

The spelling of 558036072 in words is "five hundred fifty-eight million, thirty-six thousand, seventy-two".