113832720 has 120 divisors (see below), whose sum is σ = 392712216. Its totient is φ = 29528064.

The previous prime is 113832673. The next prime is 113832721. The reversal of 113832720 is 27238311.

113832720 is a `hidden beast` number, since 11 + 383 + 272 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 94012416 = 4452^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (113832721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24504 + ... + 28776.

Almost surely, 2^113832720 is an apocalyptic number.

113832720 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 113832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196356108).

113832720 is an abundant number, since it is smaller than the sum of its proper divisors (278879496).

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

113832720 is a wasteful number, since it uses less digits than its factorization.

113832720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113832720 is about 10669.2417724972. The cubic root of 113832720 is about 484.6434762482.

The spelling of 113832720 in words is "one hundred thirteen million, eight hundred thirty-two thousand, seven hundred twenty".