7279872000 has 192 divisors, whose sum is σ = 24224054400. Its totient is φ = 1941094400.

The previous prime is 7279871987. The next prime is 7279872031. The reversal of 7279872000 is 2789727.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763261 + ... + 772739.

It is an arithmetic number, because the mean of its divisors is an integer number (126166950).

Almost surely, 2^7279872000 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 7279872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12112027200).

7279872000 is an abundant number, since it is smaller than the sum of its proper divisors (16944182400).

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

7279872000 is an equidigital number, since it uses as much as digits as its factorization.

7279872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 7279872000 is about 85322.1659359395. The cubic root of 7279872000 is about 1938.0928577676.

The spelling of 7279872000 in words is "seven billion, two hundred seventy-nine million, eight hundred seventy-two thousand".