112072071744 has 280 divisors, whose sum is σ = 342133961400. Its totient is φ = 36247855104.

The previous prime is 112072071743. The next prime is 112072071757. The reversal of 112072071744 is 447170270211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37372622400 + 74699449344 = 193320^2 + 273312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112072071699 and 112072071708.

It is not an unprimeable number, because it can be changed into a prime (112072071743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106836532 + ... + 106837580.

It is an arithmetic number, because the mean of its divisors is an integer number (1221907005).

Almost surely, 2^112072071744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112072071744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171066980700).

112072071744 is an abundant number, since it is smaller than the sum of its proper divisors (230061889656).

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

112072071744 is a wasteful number, since it uses less digits than its factorization.

112072071744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

It can be divided in two parts, 1120720 and 71744, that added together give a square (1192464 = 1092²).

The spelling of 112072071744 in words is "one hundred twelve billion, seventy-two million, seventy-one thousand, seven hundred forty-four".