112592950272 has 528 divisors, whose sum is σ = 379029201408. Its totient is φ = 31848284160.

The previous prime is 112592950237. The next prime is 112592950297. The reversal of 112592950272 is 272059295211.

112592950272 is a `hidden beast` number, since 1 + 1 + 2 + 59 + 29 + 502 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 100260303 + ... + 100261425.

It is an arithmetic number, because the mean of its divisors is an integer number (717858336).

Almost surely, 2^112592950272 is an apocalyptic number.

112592950272 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 112592950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189514600704).

112592950272 is an abundant number, since it is smaller than the sum of its proper divisors (266436251136).

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

112592950272 is a wasteful number, since it uses less digits than its factorization.

112592950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 112592950272 in words is "one hundred twelve billion, five hundred ninety-two million, nine hundred fifty thousand, two hundred seventy-two".