112242072 has 64 divisors (see below), whose sum is σ = 294681600. Its totient is φ = 35579520.

The previous prime is 112242071. The next prime is 112242073. The reversal of 112242072 is 270242211.

It is an interprime number because it is at equal distance from previous prime (112242071) and next prime (112242073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112242071) 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 15 ways as a sum of consecutive naturals, for example, 42618 + ... + 45174.

It is an arithmetic number, because the mean of its divisors is an integer number (4604400).

Almost surely, 2^112242072 is an apocalyptic number.

112242072 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 112242072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147340800).

112242072 is an abundant number, since it is smaller than the sum of its proper divisors (182439528).

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

112242072 is a wasteful number, since it uses less digits than its factorization.

112242072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 112242072 is about 10594.4358981496. The cubic root of 112242072 is about 482.3754814839.

Adding to 112242072 its reverse (270242211), we get a palindrome (382484283).

The spelling of 112242072 in words is "one hundred twelve million, two hundred forty-two thousand, seventy-two".