72591695045776 has 45 divisors (see below), whose sum is σ = 141558386142969. Its totient is φ = 36062005516992.

The previous prime is 72591695045747. The next prime is 72591695045783. The reversal of 72591695045776 is 67754059619527.

The square root of 72591695045776 is 8520076.

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

72591695045776 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21277739328400 + 51313955717376 = 4612780^2 + 7163376^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72591695045699 and 72591695045708.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5350600945 + ... + 5350614511.

Almost surely, 2^{72591695045776} is an apocalyptic number.

72591695045776 is the 8520076-th square number.

It is an amenable number.

72591695045776 is a deficient number, since it is larger than the sum of its proper divisors (68966691097193).

72591695045776 is an frugal number, since it uses more digits than its factorization.

72591695045776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27456 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 1000188000, while the sum is 73.

The spelling of 72591695045776 in words is "seventy-two trillion, five hundred ninety-one billion, six hundred ninety-five million, forty-five thousand, seven hundred seventy-six".