112572180 has 168 divisors, whose sum is σ = 405441792. Its totient is φ = 25707456.

The previous prime is 112572157. The next prime is 112572193. The reversal of 112572180 is 81275211.

112572180 is a `hidden beast` number, since 1 + 12 + 572 + 1 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101509 + ... + 102611.

It is an arithmetic number, because the mean of its divisors is an integer number (2413344).

Almost surely, 2^112572180 is an apocalyptic number.

112572180 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 112572180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202720896).

112572180 is an abundant number, since it is smaller than the sum of its proper divisors (292869612).

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

112572180 is a wasteful number, since it uses less digits than its factorization.

112572180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 112572180 is about 10610.0037700276. The cubic root of 112572180 is about 482.8479132286.

The spelling of 112572180 in words is "one hundred twelve million, five hundred seventy-two thousand, one hundred eighty".