7972839072 has 240 divisors, whose sum is σ = 25802086464. Its totient is φ = 2414966400.

The previous prime is 7972839041. The next prime is 7972839089. The reversal of 7972839072 is 2709382797.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3448797 + ... + 3451107.

Almost surely, 2^7972839072 is an apocalyptic number.

7972839072 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 7972839072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12901043232).

7972839072 is an abundant number, since it is smaller than the sum of its proper divisors (17829247392).

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

7972839072 is a wasteful number, since it uses less digits than its factorization.

7972839072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7972839072 is about 89290.7558037225. The cubic root of 7972839072 is about 1997.7340229770.

The spelling of 7972839072 in words is "seven billion, nine hundred seventy-two million, eight hundred thirty-nine thousand, seventy-two".