872467200 has 756 divisors, whose sum is σ = 3739870008. Its totient is φ = 199065600.

The previous prime is 872467187. The next prime is 872467243. The reversal of 872467200 is 2764278.

It is a super-2 number, since 2×872467200² = 1522398030151680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 51321592 + ... + 51321608.

It is an arithmetic number, because the mean of its divisors is an integer number (4946918).

Almost surely, 2^872467200 is an apocalyptic number.

872467200 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 872467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869935004).

872467200 is an abundant number, since it is smaller than the sum of its proper divisors (2867402808).

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

872467200 is a wasteful number, since it uses less digits than its factorization.

872467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 872467200 is about 29537.5557553431. Note that the first 3 decimals coincide. The cubic root of 872467200 is about 955.5418286192.

The spelling of 872467200 in words is "eight hundred seventy-two million, four hundred sixty-seven thousand, two hundred".