7972119008672 has 384 divisors, whose sum is σ = 20698963181568. Its totient is φ = 2938067251200.

The previous prime is 7972119008671. The next prime is 7972119008687. The reversal of 7972119008672 is 2768009112797.

It is a super-2 number, since 2×7972119008672² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7972119008671) 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 63 ways as a sum of consecutive naturals, for example, 258794423 + ... + 258825225.

It is an arithmetic number, because the mean of its divisors is an integer number (53903549952).

Almost surely, 2^{7972119008672} 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 7972119008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349481590784).

7972119008672 is an abundant number, since it is smaller than the sum of its proper divisors (12726844172896).

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

7972119008672 is a wasteful number, since it uses less digits than its factorization.

7972119008672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30972 (or 30964 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 59.

The spelling of 7972119008672 in words is "seven trillion, nine hundred seventy-two billion, one hundred nineteen million, eight thousand, six hundred seventy-two".