72713769345 has 48 divisors (see below), whose sum is σ = 144220632192. Its totient is φ = 33199476480.

The previous prime is 72713769343. The next prime is 72713769361. The reversal of 72713769345 is 54396731727.

It is not a de Polignac number, because 72713769345 - 2¹ = 72713769343 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72713769291 and 72713769300.

It is not an unprimeable number, because it can be changed into a prime (72713769343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113149 + ... + 397781.

It is an arithmetic number, because the mean of its divisors is an integer number (3004596504).

Almost surely, 2^72713769345 is an apocalyptic number.

It is an amenable number.

72713769345 is a deficient number, since it is larger than the sum of its proper divisors (71506862847).

72713769345 is a wasteful number, since it uses less digits than its factorization.

72713769345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285462 (or 285459 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 72713769345 in words is "seventy-two billion, seven hundred thirteen million, seven hundred sixty-nine thousand, three hundred forty-five".