113472800 has 144 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 37171200.

The previous prime is 113472797. The next prime is 113472811. The reversal of 113472800 is 8274311.

It is a self number, because there is not a number n which added to its sum of digits gives 113472800.

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, 128360 + ... + 129240.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 2^113472800 is an apocalyptic number.

113472800 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 113472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

113472800 is an abundant number, since it is smaller than the sum of its proper divisors (217256032).

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

113472800 is a wasteful number, since it uses less digits than its factorization.

113472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 113472800 is about 10652.3612405889. The cubic root of 113472800 is about 484.1321497857.

The spelling of 113472800 in words is "one hundred thirteen million, four hundred seventy-two thousand, eight hundred".