113776272 has 80 divisors (see below), whose sum is σ = 329879680. Its totient is φ = 37542528.

The previous prime is 113776211. The next prime is 113776277. The reversal of 113776272 is 272677311.

113776272 is a `hidden beast` number, since 11 + 377 + 6 + 272 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (113776277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43218 + ... + 45774.

It is an arithmetic number, because the mean of its divisors is an integer number (4123496).

Almost surely, 2^113776272 is an apocalyptic number.

113776272 is a gapful number since it is divisible by the number (12) 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 113776272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164939840).

113776272 is an abundant number, since it is smaller than the sum of its proper divisors (216103408).

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

113776272 is a wasteful number, since it uses less digits than its factorization.

113776272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2665 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 113776272 is about 10666.5960830998. The cubic root of 113776272 is about 484.5633537720.

The spelling of 113776272 in words is "one hundred thirteen million, seven hundred seventy-six thousand, two hundred seventy-two".