872300 has 72 divisors (see below), whose sum is σ = 2260272. Its totient is φ = 288000.

The previous prime is 872281. The next prime is 872317. The reversal of 872300 is 3278.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14270 + ... + 14330.

2⁸⁷²³⁰⁰ 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 872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130136).

872300 is an abundant number, since it is smaller than the sum of its proper divisors (1387972).

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

872300 is a wasteful number, since it uses less digits than its factorization.

872300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 872300 is about 933.9700209321. The cubic root of 872300 is about 95.5480784567.

Adding to 872300 its reverse (3278), we get a palindrome (875578).

The spelling of 872300 in words is "eight hundred seventy-two thousand, three hundred".