7272528508800 has 576 divisors, whose sum is σ = 26188170568560. Its totient is φ = 1921592524800.

The previous prime is 7272528508771. The next prime is 7272528508807. The reversal of 7272528508800 is 88058252727.

7272528508800 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 52 + 8 + 508 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7272528508800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7272528508807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3686024614 + ... + 3686026586.

Almost surely, 2^{7272528508800} 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 7272528508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094085284280).

7272528508800 is an abundant number, since it is smaller than the sum of its proper divisors (18915642059760).

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

7272528508800 is a wasteful number, since it uses less digits than its factorization.

7272528508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 7272528508800 in words is "seven trillion, two hundred seventy-two billion, five hundred twenty-eight million, five hundred eight thousand, eight hundred".