112872726288 has 280 divisors, whose sum is σ = 384865341248. Its totient is φ = 31376906496.

The previous prime is 112872726283. The next prime is 112872726299. The reversal of 112872726288 is 882627278211.

112872726288 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 2 + 7 + 2 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112872726283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3002295 + ... + 3039657.

Almost surely, 2^112872726288 is an apocalyptic number.

112872726288 is a gapful number since it is divisible by the number (18) 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 112872726288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192432670624).

112872726288 is an abundant number, since it is smaller than the sum of its proper divisors (271992614960).

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

112872726288 is an equidigital number, since it uses as much as digits as its factorization.

112872726288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37433 (or 37412 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

It can be divided in two parts, 112872 and 726288, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 112872726288 in words is "one hundred twelve billion, eight hundred seventy-two million, seven hundred twenty-six thousand, two hundred eighty-eight".