7972682112 has 192 divisors, whose sum is σ = 24240606000. Its totient is φ = 2515193856.

The previous prime is 7972682111. The next prime is 7972682129. The reversal of 7972682112 is 2112862797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972682111) 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 23 ways as a sum of consecutive naturals, for example, 7901064 + ... + 7902072.

Almost surely, 2^7972682112 is an apocalyptic number.

7972682112 is a gapful number since it is divisible by the number (72) 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 7972682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120303000).

7972682112 is an abundant number, since it is smaller than the sum of its proper divisors (16267923888).

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

7972682112 is a wasteful number, since it uses less digits than its factorization.

7972682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1033 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 7972682112 is about 89289.8768730252. The cubic root of 7972682112 is about 1997.7209132015.

The spelling of 7972682112 in words is "seven billion, nine hundred seventy-two million, six hundred eighty-two thousand, one hundred twelve".