218979072 has 144 divisors (see below), whose sum is σ = 697658080. Its totient is φ = 67350528.

The previous prime is 218979053. The next prime is 218979077. The reversal of 218979072 is 270979812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (218979077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88638 + ... + 91074.

Almost surely, 2^218979072 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 218979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348829040).

218979072 is an abundant number, since it is smaller than the sum of its proper divisors (478679008).

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

218979072 is a wasteful number, since it uses less digits than its factorization.

218979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 218979072 is about 14797.9414784625. The cubic root of 218979072 is about 602.7458149981.

The spelling of 218979072 in words is "two hundred eighteen million, nine hundred seventy-nine thousand, seventy-two".