7272635904000 has 1248 divisors, whose sum is σ = 27943742496384. Its totient is φ = 1813197619200.

The previous prime is 7272635903999. The next prime is 7272635904007. The reversal of 7272635904000 is 4095362727.

7272635904000 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 635 + 9 + 0 + 4 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7272635904007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20602367824 + ... + 20602368176.

It is an arithmetic number, because the mean of its divisors is an integer number (22390819308).

Almost surely, 2^{7272635904000} 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 7272635904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971871248192).

7272635904000 is an abundant number, since it is smaller than the sum of its proper divisors (20671106592384).

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

7272635904000 is a wasteful number, since it uses less digits than its factorization.

7272635904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 7272635904000 in words is "seven trillion, two hundred seventy-two billion, six hundred thirty-five million, nine hundred four thousand".