220152672 has 72 divisors (see below), whose sum is σ = 637915824. Its totient is φ = 71994624.

The previous prime is 220152661. The next prime is 220152683. The reversal of 220152672 is 276251022.

It is an interprime number because it is at equal distance from previous prime (220152661) and next prime (220152683).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 8053 + ... + 22475.

It is an arithmetic number, because the mean of its divisors is an integer number (8859942).

Almost surely, 2^220152672 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 220152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318957912).

220152672 is an abundant number, since it is smaller than the sum of its proper divisors (417763152).

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

220152672 is a wasteful number, since it uses less digits than its factorization.

220152672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 220152672 is about 14837.5426536876. The cubic root of 220152672 is about 603.8206856272.

The spelling of 220152672 in words is "two hundred twenty million, one hundred fifty-two thousand, six hundred seventy-two".