218946072 has 32 divisors (see below), whose sum is σ = 553014000. Its totient is φ = 72228864.

The previous prime is 218946061. The next prime is 218946073. The reversal of 218946072 is 270649812.

It is a self number, because there is not a number n which added to its sum of digits gives 218946072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218946073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44697 + ... + 49352.

Almost surely, 2^218946072 is an apocalyptic number.

It is an amenable number.

218946072 is an abundant number, since it is smaller than the sum of its proper divisors (334067928).

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

218946072 is a wasteful number, since it uses less digits than its factorization.

218946072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94155 (or 94151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 218946072 is about 14796.8264164989. The cubic root of 218946072 is about 602.7155356797.

It can be divided in two parts, 21894 and 6072, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 218946072 in words is "two hundred eighteen million, nine hundred forty-six thousand, seventy-two".