113472000 has 240 divisors, whose sum is σ = 410779512. Its totient is φ = 30105600.

The previous prime is 113471999. The next prime is 113472013. The reversal of 113472000 is 274311.

It can be written as a sum of positive squares in 4 ways, for example, as 68956416 + 44515584 = 8304^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 575902 + ... + 576098.

Almost surely, 2^113472000 is an apocalyptic number.

113472000 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 113472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205389756).

113472000 is an abundant number, since it is smaller than the sum of its proper divisors (297307512).

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

113472000 is an equidigital number, since it uses as much as digits as its factorization.

113472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 113472000 is about 10652.3236901626. The cubic root of 113472000 is about 484.1310120486.

The spelling of 113472000 in words is "one hundred thirteen million, four hundred seventy-two thousand".