113544072 has 96 divisors (see below), whose sum is σ = 326498400. Its totient is φ = 36560160.

The previous prime is 113544049. The next prime is 113544089. The reversal of 113544072 is 270445311.

113544072 is a `hidden beast` number, since 113 + 544 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207303 + ... + 207849.

It is an arithmetic number, because the mean of its divisors is an integer number (3401025).

Almost surely, 2^113544072 is an apocalyptic number.

113544072 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 113544072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163249200).

113544072 is an abundant number, since it is smaller than the sum of its proper divisors (212954328).

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

113544072 is a wasteful number, since it uses less digits than its factorization.

113544072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 113544072 is about 10655.7060770275. The cubic root of 113544072 is about 484.2334893282.

Adding to 113544072 its reverse (270445311), we get a palindrome (383989383).

The spelling of 113544072 in words is "one hundred thirteen million, five hundred forty-four thousand, seventy-two".