112624272 has 30 divisors (see below), whose sum is σ = 315191942. Its totient is φ = 37541376.

The previous prime is 112624243. The next prime is 112624273. The reversal of 112624272 is 272426211.

112624272 is a `hidden beast` number, since 1 + 12 + 624 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62157456 + 50466816 = 7884^2 + 7104^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (112624273) by changing a digit.

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, 390913 + ... + 391200.

Almost surely, 2^112624272 is an apocalyptic number.

112624272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112624272 is an abundant number, since it is smaller than the sum of its proper divisors (202567670).

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

112624272 is a wasteful number, since it uses less digits than its factorization.

112624272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782127 (or 782118 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 112624272 is about 10612.4583391408. The cubic root of 112624272 is about 482.9223799242.

It can be divided in two parts, 112624 and 272, that added together give a square (112896 = 336²).

The spelling of 112624272 in words is "one hundred twelve million, six hundred twenty-four thousand, two hundred seventy-two".