112304772 has 48 divisors (see below), whose sum is σ = 293294400. Its totient is φ = 37160640.

The previous prime is 112304743. The next prime is 112304809. The reversal of 112304772 is 277403211.

It is a happy number.

It is a super-2 number, since 2×112304772² = 25224723627943968, which contains 22 as substring.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11272 + ... + 18752.

It is an arithmetic number, because the mean of its divisors is an integer number (6110300).

Almost surely, 2^112304772 is an apocalyptic number.

112304772 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 112304772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146647200).

112304772 is an abundant number, since it is smaller than the sum of its proper divisors (180989628).

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

112304772 is a wasteful number, since it uses less digits than its factorization.

112304772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7633 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 112304772 is about 10597.3945854630. The cubic root of 112304772 is about 482.4652853401.

Adding to 112304772 its reverse (277403211), we get a palindrome (389707983).

The spelling of 112304772 in words is "one hundred twelve million, three hundred four thousand, seven hundred seventy-two".