872372160 has 448 divisors, whose sum is σ = 3432291840. Its totient is φ = 206807040.

The previous prime is 872372143. The next prime is 872372161. The reversal of 872372160 is 61273278.

It is a super-2 number, since 2×872372160² = 1522066371086131200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872372161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6367612 + ... + 6367748.

Almost surely, 2^872372160 is an apocalyptic number.

872372160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716145920).

872372160 is an abundant number, since it is smaller than the sum of its proper divisors (2559919680).

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

872372160 is a wasteful number, since it uses less digits than its factorization.

872372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 872372160 is about 29535.9469121950. The cubic root of 872372160 is about 955.5071308513.

The spelling of 872372160 in words is "eight hundred seventy-two million, three hundred seventy-two thousand, one hundred sixty".