112772660 has 192 divisors, whose sum is σ = 327849984. Its totient is φ = 31449600.

The previous prime is 112772641. The next prime is 112772683. The reversal of 112772660 is 66277211.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 860795 + ... + 860925.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 2^112772660 is an apocalyptic number.

112772660 is a gapful number since it is divisible by the number (10) 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 112772660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992).

112772660 is an abundant number, since it is smaller than the sum of its proper divisors (215077324).

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

112772660 is a wasteful number, since it uses less digits than its factorization.

112772660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 112772660 is about 10619.4472549187. The cubic root of 112772660 is about 483.1343781494.

The spelling of 112772660 in words is "one hundred twelve million, seven hundred seventy-two thousand, six hundred sixty".