2872100 has 72 divisors (see below), whose sum is σ = 7791168. Its totient is φ = 892800.

The previous prime is 2872081. The next prime is 2872109. The reversal of 2872100 is 12782.

2872100 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 (20).

It is not an unprimeable number, because it can be changed into a prime (2872109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7514 + ... + 7886.

2^2872100 is an apocalyptic number.

2872100 is a gapful number since it is divisible by the number (20) 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 2872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895584).

2872100 is an abundant number, since it is smaller than the sum of its proper divisors (4919068).

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

2872100 is a wasteful number, since it uses less digits than its factorization.

2872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2872100 is about 1694.7271166769. The cubic root of 2872100 is about 142.1455229707.

Adding to 2872100 its reverse (12782), we get a palindrome (2884882).

The spelling of 2872100 in words is "two million, eight hundred seventy-two thousand, one hundred".