113772960 has 144 divisors (see below), whose sum is σ = 443753856. Its totient is φ = 26002944.

The previous prime is 113772943. The next prime is 113772977. The reversal of 113772960 is 69277311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113772943) and next prime (113772977).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4437 + ... + 15723.

It is an arithmetic number, because the mean of its divisors is an integer number (3081624).

Almost surely, 2^113772960 is an apocalyptic number.

113772960 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 113772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221876928).

113772960 is an abundant number, since it is smaller than the sum of its proper divisors (329980896).

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

113772960 is a wasteful number, since it uses less digits than its factorization.

113772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 113772960 is about 10666.4408309426. The cubic root of 113772960 is about 484.5586518854.

The spelling of 113772960 in words is "one hundred thirteen million, seven hundred seventy-two thousand, nine hundred sixty".