112462272 has 168 divisors, whose sum is σ = 362797344. Its totient is φ = 33048576.

The previous prime is 112462271. The next prime is 112462297. The reversal of 112462272 is 272264211.

112462272 is a `hidden beast` number, since 11 + 24 + 622 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112462271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171898 + ... + 172550.

It is an arithmetic number, because the mean of its divisors is an integer number (2159508).

Almost surely, 2^112462272 is an apocalyptic number.

112462272 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 112462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398672).

112462272 is an abundant number, since it is smaller than the sum of its proper divisors (250335072).

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

112462272 is a wasteful number, since it uses less digits than its factorization.

112462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 112462272 is about 10604.8230536865. The cubic root of 112462272 is about 482.6907218492.

The spelling of 112462272 in words is "one hundred twelve million, four hundred sixty-two thousand, two hundred seventy-two".