72810395413 has 12 divisors (see below), whose sum is σ = 84886469100. Its totient is φ = 62269896192.

The previous prime is 72810395353. The next prime is 72810395419. The reversal of 72810395413 is 31459301827.

It can be written as a sum of positive squares in 2 ways, for example, as 18363773169 + 54446622244 = 135513^2 + 233338^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72810395413 is a prime.

It is a super-2 number, since 2×72810395413² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72810395413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72810395419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1632706 + ... + 1676707.

It is an arithmetic number, because the mean of its divisors is an integer number (7073872425).

Almost surely, 2^72810395413 is an apocalyptic number.

It is an amenable number.

72810395413 is a deficient number, since it is larger than the sum of its proper divisors (12076073687).

72810395413 is a wasteful number, since it uses less digits than its factorization.

72810395413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309876 (or 3309869 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 72810395413 in words is "seventy-two billion, eight hundred ten million, three hundred ninety-five thousand, four hundred thirteen".