218856072 has 32 divisors (see below), whose sum is σ = 550313280. Its totient is φ = 72528960.

The previous prime is 218856059. The next prime is 218856089. The reversal of 218856072 is 270658812.

It is a self number, because there is not a number n which added to its sum of digits gives 218856072.

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 7 ways as a sum of consecutive naturals, for example, 22204 + ... + 30507.

It is an arithmetic number, because the mean of its divisors is an integer number (17197290).

Almost surely, 2^218856072 is an apocalyptic number.

It is an amenable number.

218856072 is an abundant number, since it is smaller than the sum of its proper divisors (331457208).

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

218856072 is a wasteful number, since it uses less digits than its factorization.

218856072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52893 (or 52889 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 218856072 is about 14793.7849112389. The cubic root of 218856072 is about 602.6329402533.

The spelling of 218856072 in words is "two hundred eighteen million, eight hundred fifty-six thousand, seventy-two".