872000 has 56 divisors (see below), whose sum is σ = 2179320. Its totient is φ = 345600.

The previous prime is 871993. The next prime is 872017. The reversal of 872000 is 278.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 861184 = 104^2 + 928^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 872000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7946 + ... + 8054.

2⁸⁷²⁰⁰⁰ is an apocalyptic number.

872000 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 872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089660).

872000 is an abundant number, since it is smaller than the sum of its proper divisors (1307320).

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

872000 is a wasteful number, since it uses less digits than its factorization.

872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 872000 is about 933.8094023943. The cubic root of 872000 is about 95.5371236207.

Adding to 872000 its reverse (278), we get a palindrome (872278).

The spelling of 872000 in words is "eight hundred seventy-two thousand".