72563133136527 has 32 divisors (see below), whose sum is σ = 117275609237760. Its totient is φ = 43976959428960.

The previous prime is 72563133136513. The next prime is 72563133136531.

72563133136527 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 313 + 313 + 6 + 5 + 2 + 7 = 666.

72563133136527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72563133136527 - 2⁶ = 72563133136463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72563133136567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17150548 + ... + 20958710.

It is an arithmetic number, because the mean of its divisors is an integer number (3664862788680).

Almost surely, 2^{72563133136527} is an apocalyptic number.

72563133136527 is a deficient number, since it is larger than the sum of its proper divisors (44712476101233).

72563133136527 is a wasteful number, since it uses less digits than its factorization.

72563133136527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872340 (or 3872334 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The spelling of 72563133136527 in words is "seventy-two trillion, five hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-six thousand, five hundred twenty-seven".