112735872 has 48 divisors (see below), whose sum is σ = 324412530. Its totient is φ = 37578240.

The previous prime is 112735867. The next prime is 112735901. The reversal of 112735872 is 278537211.

112735872 is a `hidden beast` number, since 1 + 1 + 2 + 73 + 587 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79281216 + 33454656 = 8904^2 + 5784^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 5 ways as a sum of consecutive naturals, for example, 47779 + ... + 50082.

Almost surely, 2^112735872 is an apocalyptic number.

112735872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112735872 is an abundant number, since it is smaller than the sum of its proper divisors (211676658).

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

112735872 is an equidigital number, since it uses as much as digits as its factorization.

112735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97881 (or 97866 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 112735872 is about 10617.7150084187. The cubic root of 112735872 is about 483.0818373991.

The spelling of 112735872 in words is "one hundred twelve million, seven hundred thirty-five thousand, eight hundred seventy-two".