72288858098736 has 240 divisors, whose sum is σ = 217150288992000. Its totient is φ = 23253110463744.

The previous prime is 72288858098641. The next prime is 72288858098749. The reversal of 72288858098736 is 63789085888227.

72288858098736 is a `hidden beast` number, since 7 + 2 + 28 + 8 + 8 + 580 + 9 + 8 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 47 ways as a sum of consecutive naturals, for example, 214849965 + ... + 215186163.

It is an arithmetic number, because the mean of its divisors is an integer number (904792870800).

Almost surely, 2^{72288858098736} 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 72288858098736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108575144496000).

72288858098736 is an abundant number, since it is smaller than the sum of its proper divisors (144861430893264).

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

72288858098736 is a wasteful number, since it uses less digits than its factorization.

72288858098736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338158 (or 338140 counting only the distinct ones).

The product of its (nonzero) digits is 5202247680, while the sum is 81.

The spelling of 72288858098736 in words is "seventy-two trillion, two hundred eighty-eight billion, eight hundred fifty-eight million, ninety-eight thousand, seven hundred thirty-six".