872200 has 72 divisors (see below), whose sum is σ = 2385450. Its totient is φ = 295680.

The previous prime is 872189. The next prime is 872203. The reversal of 872200 is 2278.

It can be written as a sum of positive squares in 3 ways, for example, as 509796 + 362404 = 714^2 + 602^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (872203) by changing a digit.

872200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9756 + ... + 9844.

2⁸⁷²²⁰⁰ 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 872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192725).

872200 is an abundant number, since it is smaller than the sum of its proper divisors (1513250).

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

872200 is a wasteful number, since it uses less digits than its factorization.

872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 872200 is about 933.9164844888. The cubic root of 872200 is about 95.5444271238.

Adding to 872200 its reverse (2278), we get a palindrome (874478).

It can be divided in two parts, 8 and 72200, that multiplied together give a square (577600 = 760²).

The spelling of 872200 in words is "eight hundred seventy-two thousand, two hundred".