220275972 has 72 divisors (see below), whose sum is σ = 649376000. Its totient is φ = 62932464.

The previous prime is 220275959. The next prime is 220275977. The reversal of 220275972 is 279572022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220275977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3429 + ... + 21267.

Almost surely, 2^220275972 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 220275972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324688000).

220275972 is an abundant number, since it is smaller than the sum of its proper divisors (429100028).

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

220275972 is a wasteful number, since it uses less digits than its factorization.

220275972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17870 (or 17851 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 220275972 is about 14841.6970727744. The cubic root of 220275972 is about 603.9333910436.

The spelling of 220275972 in words is "two hundred twenty million, two hundred seventy-five thousand, nine hundred seventy-two".