7288542072900 has 891 divisors, whose sum is σ = 26337614051959. Its totient is φ = 1749425040000.

The previous prime is 7288542072887. The next prime is 7288542072919. The reversal of 7288542072900 is 92702458827.

The square root of 7288542072900 is 2699730.

It is a perfect power (a square), and thus also a powerful number.

7288542072900 is a `hidden beast` number, since 7 + 2 + 8 + 8 + 542 + 0 + 7 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1345790246724 + 5942751826176 = 1160082^2 + 2437776^2 .

It is a tau number, because it is divible by the number of its divisors (891).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 72163782850 + ... + 72163782950.

Almost surely, 2^{7288542072900} is an apocalyptic number.

7288542072900 is the 2699730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7288542072900

7288542072900 is an abundant number, since it is smaller than the sum of its proper divisors (19049071979059).

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

7288542072900 is a wasteful number, since it uses less digits than its factorization.

7288542072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7288542072900 in words is "seven trillion, two hundred eighty-eight billion, five hundred forty-two million, seventy-two thousand, nine hundred".