72742497534513 has 12 divisors (see below), whose sum is σ = 105261136475508. Its totient is φ = 48407933724000.

The previous prime is 72742497534491. The next prime is 72742497534517. The reversal of 72742497534513 is 31543579424727.

72742497534513 is a `hidden beast` number, since 7 + 2 + 7 + 4 + 2 + 4 + 97 + 534 + 5 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2242410411024 + 70500087123489 = 1497468^2 + 8396433^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72742497534513 is a prime.

It is a super-2 number, since 2×72742497534513² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72742497534517) 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, 7255380738 + ... + 7255390763.

It is an arithmetic number, because the mean of its divisors is an integer number (8771761372959).

Almost surely, 2^{72742497534513} is an apocalyptic number.

It is an amenable number.

72742497534513 is a deficient number, since it is larger than the sum of its proper divisors (32518638940995).

72742497534513 is a wasteful number, since it uses less digits than its factorization.

72742497534513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14510772064 (or 14510772061 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 63.

The spelling of 72742497534513 in words is "seventy-two trillion, seven hundred forty-two billion, four hundred ninety-seven million, five hundred thirty-four thousand, five hundred thirteen".