872500 has 30 divisors (see below), whose sum is σ = 1913450. Its totient is φ = 348000.

The previous prime is 872479. The next prime is 872533. The reversal of 872500 is 5278.

It can be written as a sum of positive squares in 5 ways, for example, as 242064 + 630436 = 492^2 + 794^2 .

It is a super-2 number, since 2×872500² = 1522512500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2326 + ... + 2674.

2⁸⁷²⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956725).

872500 is an abundant number, since it is smaller than the sum of its proper divisors (1040950).

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

872500 is a wasteful number, since it uses less digits than its factorization.

872500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 872500 is about 934.0770846135. The cubic root of 872500 is about 95.5553802853. Note that the first 3 decimals are identical.

Adding to 872500 its reverse (5278), we get a palindrome (877778).

The spelling of 872500 in words is "eight hundred seventy-two thousand, five hundred".