872071200 has 864 divisors, whose sum is σ = 4162983552. Its totient is φ = 167270400.

The previous prime is 872071163. The next prime is 872071231. The reversal of 872071200 is 2170278.

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 143 ways as a sum of consecutive naturals, for example, 67082394 + ... + 67082406.

It is an arithmetic number, because the mean of its divisors is an integer number (4818268).

Almost surely, 2^872071200 is an apocalyptic number.

872071200 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 872071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081491776).

872071200 is an abundant number, since it is smaller than the sum of its proper divisors (3290912352).

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

872071200 is a wasteful number, since it uses less digits than its factorization.

872071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 872071200 is about 29530.8516639802. The cubic root of 872071200 is about 955.3972379580.

The spelling of 872071200 in words is "eight hundred seventy-two million, seventy-one thousand, two hundred".