872100 has 144 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 207360.

The previous prime is 872099. The next prime is 872107. The reversal of 872100 is 1278.

872100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (872107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45891 + ... + 45909.

It is an arithmetic number, because the mean of its divisors is an integer number (21700).

2⁸⁷²¹⁰⁰ 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 872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

872100 is an abundant number, since it is smaller than the sum of its proper divisors (2252700).

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

872100 is a wasteful number, since it uses less digits than its factorization.

872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

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

The square root of 872100 is about 933.8629449764. The cubic root of 872100 is about 95.5407755118.

Adding to 872100 its reverse (1278), we get a palindrome (873378).

It can be divided in two parts, 87 and 2100, that added together give a 7-th power (2187 = 3⁷).

The spelling of 872100 in words is "eight hundred seventy-two thousand, one hundred".