218290072 has 64 divisors (see below), whose sum is σ = 549561600. Its totient is φ = 78503040.

The previous prime is 218290021. The next prime is 218290091. The reversal of 218290072 is 270092812.

218290072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5622 + ... + 21637.

It is an arithmetic number, because the mean of its divisors is an integer number (8586900).

Almost surely, 2^218290072 is an apocalyptic number.

218290072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218290072 is an abundant number, since it is smaller than the sum of its proper divisors (331271528).

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

218290072 is a wasteful number, since it uses less digits than its factorization.

218290072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27296 (or 27292 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 218290072 is about 14774.6428721645. The cubic root of 218290072 is about 602.1129871111.

The spelling of 218290072 in words is "two hundred eighteen million, two hundred ninety thousand, seventy-two".