112272810 has 64 divisors (see below), whose sum is σ = 291271680. Its totient is φ = 27532800.

The previous prime is 112272779. The next prime is 112272817. The reversal of 112272810 is 18272211.

It is a super-2 number, since 2×112272810² = 25210367730592200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112272817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186510 + ... + 187110.

It is an arithmetic number, because the mean of its divisors is an integer number (4551120).

Almost surely, 2^112272810 is an apocalyptic number.

112272810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112272810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145635840).

112272810 is an abundant number, since it is smaller than the sum of its proper divisors (178998870).

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

112272810 is a wasteful number, since it uses less digits than its factorization.

112272810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 112272810 is about 10595.8864659829. The cubic root of 112272810 is about 482.4195110354.

The spelling of 112272810 in words is "one hundred twelve million, two hundred seventy-two thousand, eight hundred ten".