7272648720000 has 1280 divisors, whose sum is σ = 27442730515200. Its totient is φ = 1895104512000.

The previous prime is 7272648719971. The next prime is 7272648720017. The reversal of 7272648720000 is 278462727.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21580559832 + ... + 21580560168.

It is an arithmetic number, because the mean of its divisors is an integer number (21439633215).

Almost surely, 2^{7272648720000} 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 7272648720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721365257600).

7272648720000 is an abundant number, since it is smaller than the sum of its proper divisors (20170081795200).

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

7272648720000 is a wasteful number, since it uses less digits than its factorization.

7272648720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 7272648720000 in words is "seven trillion, two hundred seventy-two billion, six hundred forty-eight million, seven hundred twenty thousand".