518808072 has 64 divisors (see below), whose sum is σ = 1397088000. Its totient is φ = 160017984.

The previous prime is 518808047. The next prime is 518808097. The reversal of 518808072 is 270808815.

It is an interprime number because it is at equal distance from previous prime (518808047) and next prime (518808097).

It is a self number, because there is not a number n which added to its sum of digits gives 518808072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6379 + ... + 32837.

It is an arithmetic number, because the mean of its divisors is an integer number (21829500).

Almost surely, 2^518808072 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 518808072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698544000).

518808072 is an abundant number, since it is smaller than the sum of its proper divisors (878279928).

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

518808072 is a wasteful number, since it uses less digits than its factorization.

518808072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26530 (or 26526 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 518808072 is about 22777.3587582055. The cubic root of 518808072 is about 803.5302694155.

The spelling of 518808072 in words is "five hundred eighteen million, eight hundred eight thousand, seventy-two".