72881188554304 has 567 divisors, whose sum is σ = 169648576997697. Its totient is φ = 31048082537472.

The previous prime is 72881188554271. The next prime is 72881188554359. The reversal of 72881188554304 is 40345588118827.

The square root of 72881188554304 is 8537048.

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

It can be written as a sum of positive squares in only one way, i.e., 10781240910400 + 62099947643904 = 3283480^2 + 7880352^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 878086609047 + ... + 878086609129.

Almost surely, 2^{72881188554304} is an apocalyptic number.

72881188554304 is the 8537048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72881188554304

72881188554304 is an abundant number, since it is smaller than the sum of its proper divisors (96767388443393).

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

72881188554304 is an equidigital number, since it uses as much as digits as its factorization.

72881188554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 64.

72881188554304 divided by its sum of digits (64) gives a square (1138768571161 = 1067131²).

The spelling of 72881188554304 in words is "seventy-two trillion, eight hundred eighty-one billion, one hundred eighty-eight million, five hundred fifty-four thousand, three hundred four".