112788072 has 32 divisors (see below), whose sum is σ = 313300800. Its totient is φ = 37595952.

The previous prime is 112788043. The next prime is 112788103. The reversal of 112788072 is 270887211.

It is a happy number.

It is a super-2 number, since 2×112788072² = 25442298370954368, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 260868 + ... + 261299.

It is an arithmetic number, because the mean of its divisors is an integer number (9790650).

Almost surely, 2^112788072 is an apocalyptic number.

112788072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112788072 is an abundant number, since it is smaller than the sum of its proper divisors (200512728).

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

112788072 is a wasteful number, since it uses less digits than its factorization.

112788072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522182 (or 522172 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 112788072 is about 10620.1728799488. The cubic root of 112788072 is about 483.1563862255.

The spelling of 112788072 in words is "one hundred twelve million, seven hundred eighty-eight thousand, seventy-two".