872872000 has 448 divisors, whose sum is σ = 2929006080. Its totient is φ = 248832000.

The previous prime is 872871983. The next prime is 872872037. The reversal of 872872000 is 278278.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8007946 + ... + 8008054.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 2^872872000 is an apocalyptic number.

872872000 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 872872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464503040).

872872000 is an abundant number, since it is smaller than the sum of its proper divisors (2056134080).

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

872872000 is a wasteful number, since it uses less digits than its factorization.

872872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 872872000 is about 29544.4072541657. The cubic root of 872872000 is about 955.6895871923.

The spelling of 872872000 in words is "eight hundred seventy-two million, eight hundred seventy-two thousand".