112724920 has 64 divisors (see below), whose sum is σ = 316224000. Its totient is φ = 35134080.

The previous prime is 112724917. The next prime is 112724947. The reversal of 112724920 is 29427211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15220 + ... + 21379.

It is an arithmetic number, because the mean of its divisors is an integer number (4941000).

Almost surely, 2^112724920 is an apocalyptic number.

112724920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112724920 is an abundant number, since it is smaller than the sum of its proper divisors (203499080).

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

112724920 is a wasteful number, since it uses less digits than its factorization.

112724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36628 (or 36624 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 112724920 is about 10617.1992540406. The cubic root of 112724920 is about 483.0661935065.

The spelling of 112724920 in words is "one hundred twelve million, seven hundred twenty-four thousand, nine hundred twenty".