72106104744864 has 48 divisors (see below), whose sum is σ = 210309472175040. Its totient is φ = 24035368248000.

The previous prime is 72106104744829. The next prime is 72106104744881. The reversal of 72106104744864 is 46844740160127.

72106104744864 is a `hidden beast` number, since 7 + 2 + 10 + 61 + 0 + 474 + 48 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 72106104744864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41728069012 + ... + 41728070739.

It is an arithmetic number, because the mean of its divisors is an integer number (4381447336980).

Almost surely, 2^{72106104744864} is an apocalyptic number.

It is an amenable number.

72106104744864 is an abundant number, since it is smaller than the sum of its proper divisors (138203367430176).

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

72106104744864 is a wasteful number, since it uses less digits than its factorization.

72106104744864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83456139770 (or 83456139756 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 72106104744864 in words is "seventy-two trillion, one hundred six billion, one hundred four million, seven hundred forty-four thousand, eight hundred sixty-four".