112772628 has 96 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 35094528.

The previous prime is 112772609. The next prime is 112772641. The reversal of 112772628 is 826277211.

112772628 is a `hidden beast` number, since 1 + 1 + 27 + 7 + 2 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112772592 and 112772601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438676 + ... + 438932.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 2^112772628 is an apocalyptic number.

112772628 is a gapful number since it is divisible by the number (18) 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 112772628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

112772628 is an abundant number, since it is smaller than the sum of its proper divisors (199304172).

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

112772628 is a wasteful number, since it uses less digits than its factorization.

112772628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 112772628 is about 10619.4457482488. The cubic root of 112772628 is about 483.1343324518.

The spelling of 112772628 in words is "one hundred twelve million, seven hundred seventy-two thousand, six hundred twenty-eight".