72513271373517 has 24 divisors (see below), whose sum is σ = 112871242575000. Its totient is φ = 44594743529088.

The previous prime is 72513271373497. The next prime is 72513271373519. The reversal of 72513271373517 is 71537317231527.

72513271373517 is a `hidden beast` number, since 7 + 2 + 5 + 13 + 271 + 3 + 7 + 351 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 278128609641 + 72235142763876 = 527379^2 + 8499126^2 .

It is not a de Polignac number, because 72513271373517 - 2³⁰ = 72512197631693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72513271373519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199874142 + ... + 200236607.

It is an arithmetic number, because the mean of its divisors is an integer number (4702968440625).

Almost surely, 2^{72513271373517} is an apocalyptic number.

It is an amenable number.

72513271373517 is a deficient number, since it is larger than the sum of its proper divisors (40357971201483).

72513271373517 is a wasteful number, since it uses less digits than its factorization.

72513271373517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400112317 (or 400112314 counting only the distinct ones).

The product of its digits is 6482700, while the sum is 54.

The spelling of 72513271373517 in words is "seventy-two trillion, five hundred thirteen billion, two hundred seventy-one million, three hundred seventy-three thousand, five hundred seventeen".