112930272 has 288 divisors, whose sum is σ = 410941440. Its totient is φ = 28615680.

The previous prime is 112930267. The next prime is 112930273. The reversal of 112930272 is 272039211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112930273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812379 + ... + 812517.

It is an arithmetic number, because the mean of its divisors is an integer number (1426880).

Almost surely, 2^112930272 is an apocalyptic number.

112930272 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 112930272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

112930272 is an abundant number, since it is smaller than the sum of its proper divisors (298011168).

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

112930272 is a wasteful number, since it uses less digits than its factorization.

112930272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 112930272 is about 10626.8655773939. The cubic root of 112930272 is about 483.3593509049.

Adding to 112930272 its reverse (272039211), we get a palindrome (384969483).

The spelling of 112930272 in words is "one hundred twelve million, nine hundred thirty thousand, two hundred seventy-two".