112078272 has 56 divisors (see below), whose sum is σ = 306781200. Its totient is φ = 36069376.

The previous prime is 112078271. The next prime is 112078273. The reversal of 112078272 is 272870211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112078271) and next prime (112078273).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112078271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4497 + ... + 15632.

Almost surely, 2^112078272 is an apocalyptic number.

112078272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112078272 is an abundant number, since it is smaller than the sum of its proper divisors (194702928).

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

112078272 is a wasteful number, since it uses less digits than its factorization.

112078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173 (or 20163 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 112078272 is about 10586.7026027938. The cubic root of 112078272 is about 482.1407163628.

The spelling of 112078272 in words is "one hundred twelve million, seventy-eight thousand, two hundred seventy-two".