872010000 has 150 divisors (see below), whose sum is σ = 3049859670. Its totient is φ = 232512000.

The previous prime is 872009989. The next prime is 872010011. The reversal of 872010000 is 10278.

872010000 = 128³ + 129³ + ... + 247³.

872010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (872009989) and next prime (872010011).

It can be written as a sum of positive squares in 5 ways, for example, as 317124864 + 554885136 = 17808^2 + 23556^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85156 + ... + 94844.

Almost surely, 2^872010000 is an apocalyptic number.

872010000 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 872010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524929835).

872010000 is an abundant number, since it is smaller than the sum of its proper divisors (2177849670).

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

872010000 is a wasteful number, since it uses less digits than its factorization.

872010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 872010000 is about 29529.8154413467. The cubic root of 872010000 is about 955.3748882238.

Adding to 872010000 its reverse (10278), we get a palindrome (872020278).

The spelling of 872010000 in words is "eight hundred seventy-two million, ten thousand".