112368672 has 72 divisors (see below), whose sum is σ = 344140524. Its totient is φ = 34573824.

The previous prime is 112368643. The next prime is 112368673. The reversal of 112368672 is 276863211.

It can be written as a sum of positive squares in 2 ways, for example, as 78216336 + 34152336 = 8844^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (112368673) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11263 + ... + 18750.

Almost surely, 2^112368672 is an apocalyptic number.

112368672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112368672 is an abundant number, since it is smaller than the sum of its proper divisors (231771852).

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

112368672 is a wasteful number, since it uses less digits than its factorization.

112368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30042 (or 30031 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 112368672 is about 10600.4090487113. The cubic root of 112368672 is about 482.5567735462.

The spelling of 112368672 in words is "one hundred twelve million, three hundred sixty-eight thousand, six hundred seventy-two".