7272016968000 has 896 divisors, whose sum is σ = 25927980249600. Its totient is φ = 1789378560000.

The previous prime is 7272016967959. The next prime is 7272016968011. The reversal of 7272016968000 is 8696102727.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4491671191 + ... + 4491672809.

Almost surely, 2^{7272016968000} 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 7272016968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963990124800).

7272016968000 is an abundant number, since it is smaller than the sum of its proper divisors (18655963281600).

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

7272016968000 is a wasteful number, since it uses less digits than its factorization.

7272016968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 7272016968000 in words is "seven trillion, two hundred seventy-two billion, sixteen million, nine hundred sixty-eight thousand".