7872374112 has 96 divisors (see below), whose sum is σ = 21552297984. Its totient is φ = 2513203200.

The previous prime is 7872374089. The next prime is 7872374113. The reversal of 7872374112 is 2114732787.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872374113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275037 + ... + 302307.

It is an arithmetic number, because the mean of its divisors is an integer number (224503104).

Almost surely, 2^7872374112 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 7872374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10776148992).

7872374112 is an abundant number, since it is smaller than the sum of its proper divisors (13679923872).

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

7872374112 is a wasteful number, since it uses less digits than its factorization.

7872374112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27412 (or 27404 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 7872374112 is about 88726.4003101670. The cubic root of 7872374112 is about 1989.3074458502.

The spelling of 7872374112 in words is "seven billion, eight hundred seventy-two million, three hundred seventy-four thousand, one hundred twelve".