72823617668000 has 48 divisors (see below), whose sum is σ = 178927628620104. Its totient is φ = 29129447065600.

The previous prime is 72823617667993. The next prime is 72823617668027. The reversal of 72823617668000 is 86671632827.

It can be written as a sum of positive squares in 4 ways, for example, as 44540834427664 + 28282783240336 = 6673892^2 + 5318156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9102948209 + ... + 9102956208.

Almost surely, 2^{72823617668000} is an apocalyptic number.

It is an amenable number.

72823617668000 is an abundant number, since it is smaller than the sum of its proper divisors (106104010952104).

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

72823617668000 is a wasteful number, since it uses less digits than its factorization.

72823617668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18205904442 (or 18205904424 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 72823617668000 in words is "seventy-two trillion, eight hundred twenty-three billion, six hundred seventeen million, six hundred sixty-eight thousand".