73056671595656 has 96 divisors (see below), whose sum is σ = 164893663359000. Its totient is φ = 30220545890304.

The previous prime is 73056671595643. The next prime is 73056671595659. The reversal of 73056671595656 is 65659517665037.

It can be written as a sum of positive squares in 4 ways, for example, as 69010402562500 + 4046269033156 = 8307250^2 + 2011534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73056671595656.

It is not an unprimeable number, because it can be changed into a prime (73056671595659) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34075526 + ... + 36155978.

Almost surely, 2^{73056671595656} 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 73056671595656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82446831679500).

73056671595656 is an abundant number, since it is smaller than the sum of its proper divisors (91836991763344).

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

73056671595656 is a wasteful number, since it uses less digits than its factorization.

73056671595656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083591 (or 2083580 counting only the distinct ones).

The product of its (nonzero) digits is 1071630000, while the sum is 71.

The spelling of 73056671595656 in words is "seventy-three trillion, fifty-six billion, six hundred seventy-one million, five hundred ninety-five thousand, six hundred fifty-six".