7272000007200 has 288 divisors, whose sum is σ = 26343074560320. Its totient is φ = 1936053504000.

The previous prime is 7272000007189. The next prime is 7272000007201. The reversal of 7272000007200 is 27000002727.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7272000007201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13054375 + ... + 13600025.

It is an arithmetic number, because the mean of its divisors is an integer number (91469008890).

Almost surely, 2^{7272000007200} 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 7272000007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171537280160).

7272000007200 is an abundant number, since it is smaller than the sum of its proper divisors (19071074553120).

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

7272000007200 is a wasteful number, since it uses less digits than its factorization.

7272000007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546297 (or 546278 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

Adding to 7272000007200 its reverse (27000002727), we get a palindrome (7299000009927).

The spelling of 7272000007200 in words is "seven trillion, two hundred seventy-two billion, seven thousand, two hundred".