72057216115305 has 24 divisors (see below), whose sum is σ = 126302536119240. Its totient is φ = 37998711717120.

The previous prime is 72057216115289. The next prime is 72057216115327. The reversal of 72057216115305 is 50351161275027.

72057216115305 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 7 + 21 + 611 + 5 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11330279138304 + 60726936977001 = 3366048^2 + 7792749^2 .

It is not a de Polignac number, because 72057216115305 - 2⁴ = 72057216115289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8995903126 + ... + 8995911135.

It is an arithmetic number, because the mean of its divisors is an integer number (5262605671635).

Almost surely, 2^{72057216115305} is an apocalyptic number.

It is an amenable number.

72057216115305 is a deficient number, since it is larger than the sum of its proper divisors (54245320003935).

72057216115305 is a wasteful number, since it uses less digits than its factorization.

72057216115305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17991814361 (or 17991814358 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 72057216115305 in words is "seventy-two trillion, fifty-seven billion, two hundred sixteen million, one hundred fifteen thousand, three hundred five".