112306752 has 42 divisors (see below), whose sum is σ = 321908678. Its totient is φ = 37435392.

The previous prime is 112306751. The next prime is 112306757. The reversal of 112306752 is 257603211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 106998336 + 5308416 = 10344^2 + 2304^2 .

It is a super-2 number, since 2×112306752² = 25225613089579008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112306751) 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, 96913 + ... + 98064.

Almost surely, 2^112306752 is an apocalyptic number.

112306752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112306752 is an abundant number, since it is smaller than the sum of its proper divisors (209601926).

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

112306752 is a wasteful number, since it uses less digits than its factorization.

112306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194995 (or 194982 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 112306752 is about 10597.4880042395. The cubic root of 112306752 is about 482.4681207069.

Adding to 112306752 its reverse (257603211), we get a palindrome (369909963).

The spelling of 112306752 in words is "one hundred twelve million, three hundred six thousand, seven hundred fifty-two".