72386856073 has 12 divisors (see below), whose sum is σ = 84977648580. Its totient is φ = 61476643872.

The previous prime is 72386856049. The next prime is 72386856097. The reversal of 72386856073 is 37065868327.

It is an interprime number because it is at equal distance from previous prime (72386856049) and next prime (72386856097).

It can be written as a sum of positive squares in 2 ways, for example, as 27189371664 + 45197484409 = 164892^2 + 212597^2 .

It is not a de Polignac number, because 72386856073 - 2⁵ = 72386856041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72386856023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6771186 + ... + 6781867.

It is an arithmetic number, because the mean of its divisors is an integer number (7081470715).

Almost surely, 2^72386856073 is an apocalyptic number.

It is an amenable number.

72386856073 is a deficient number, since it is larger than the sum of its proper divisors (12590792507).

72386856073 is a wasteful number, since it uses less digits than its factorization.

72386856073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553176 (or 13553169 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 72386856073 in words is "seventy-two billion, three hundred eighty-six million, eight hundred fifty-six thousand, seventy-three".