10872400 has 120 divisors (see below), whose sum is σ = 32658624. Its totient is φ = 3379200.

The previous prime is 10872383. The next prime is 10872403. The reversal of 10872400 is 427801.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872403) 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, 30624 + ... + 30976.

Almost surely, 2^10872400 is an apocalyptic number.

10872400 is a gapful number since it is divisible by the number (10) 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 10872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329312).

10872400 is an abundant number, since it is smaller than the sum of its proper divisors (21786224).

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

10872400 is a wasteful number, since it uses less digits than its factorization.

10872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10872400 is about 3297.3322550207. The cubic root of 10872400 is about 221.5347233957.

The spelling of 10872400 in words is "ten million, eight hundred seventy-two thousand, four hundred".