112275072 has 480 divisors, whose sum is σ = 443201220. Its totient is φ = 27869184.

The previous prime is 112275019. The next prime is 112275073. The reversal of 112275072 is 270572211.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 254016 = 10584^2 + 504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112275073) 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 59 ways as a sum of consecutive naturals, for example, 6604408 + ... + 6604424.

Almost surely, 2^112275072 is an apocalyptic number.

112275072 is a gapful number since it is divisible by the number (12) 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 112275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221600610).

112275072 is an abundant number, since it is smaller than the sum of its proper divisors (330926148).

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

112275072 is a wasteful number, since it uses less digits than its factorization.

112275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 112275072 is about 10595.9932049808. The cubic root of 112275072 is about 482.4227508391.

The spelling of 112275072 in words is "one hundred twelve million, two hundred seventy-five thousand, seventy-two".