7272028800 has 384 divisors, whose sum is σ = 28184803200. Its totient is φ = 1824768000.

The previous prime is 7272028787. The next prime is 7272028801. The reversal of 7272028800 is 88202727.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7272028801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466325 + ... + 1471275.

It is an arithmetic number, because the mean of its divisors is an integer number (73397925).

Almost surely, 2^7272028800 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 7272028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092401600).

7272028800 is an abundant number, since it is smaller than the sum of its proper divisors (20912774400).

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

7272028800 is a wasteful number, since it uses less digits than its factorization.

7272028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7272028800 is about 85276.1912845549. The cubic root of 7272028800 is about 1937.3965858088.

The spelling of 7272028800 in words is "seven billion, two hundred seventy-two million, twenty-eight thousand, eight hundred".