7947072000 has 960 divisors, whose sum is σ = 34389298944. Its totient is φ = 1791590400.

The previous prime is 7947071989. The next prime is 7947072061. The reversal of 7947072000 is 2707497.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863964 + ... + 108864036.

Almost surely, 2^7947072000 is an apocalyptic number.

7947072000 is a gapful number since it is divisible by the number (70) 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 7947072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17194649472).

7947072000 is an abundant number, since it is smaller than the sum of its proper divisors (26442226944).

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

7947072000 is an frugal number, since it uses more digits than its factorization.

7947072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 7947072000 is about 89146.3515798600. The cubic root of 7947072000 is about 1995.5795704326.

Adding to 7947072000 its reverse (2707497), we get a palindrome (7949779497).

The spelling of 7947072000 in words is "seven billion, nine hundred forty-seven million, seventy-two thousand".