113749272 has 192 divisors, whose sum is σ = 393818880. Its totient is φ = 29953152.

The previous prime is 113749271. The next prime is 113749301. The reversal of 113749272 is 272947311.

113749272 is a `hidden beast` number, since 11 + 374 + 9 + 272 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113749271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176583 + ... + 177225.

It is an arithmetic number, because the mean of its divisors is an integer number (2051140).

Almost surely, 2^113749272 is an apocalyptic number.

113749272 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 113749272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196909440).

113749272 is an abundant number, since it is smaller than the sum of its proper divisors (280069608).

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

113749272 is a wasteful number, since it uses less digits than its factorization.

113749272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 668 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 113749272 is about 10665.3303746298. The cubic root of 113749272 is about 484.5250205139.

The spelling of 113749272 in words is "one hundred thirteen million, seven hundred forty-nine thousand, two hundred seventy-two".