72564288246527 has 16 divisors (see below), whose sum is σ = 90485766362112. Its totient is φ = 56533598485920.

The previous prime is 72564288246509. The next prime is 72564288246607.

72564288246527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72564288246527 - 2³⁸ = 72289410339583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72564288249527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82918103 + ... + 83788664.

It is an arithmetic number, because the mean of its divisors is an integer number (5655360397632).

Almost surely, 2^{72564288246527} is an apocalyptic number.

72564288246527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72564288246527 is a deficient number, since it is larger than the sum of its proper divisors (17921478115585).

72564288246527 is a wasteful number, since it uses less digits than its factorization.

72564288246527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166712438.

The product of its digits is 722534400, while the sum is 68.

The spelling of 72564288246527 in words is "seventy-two trillion, five hundred sixty-four billion, two hundred eighty-eight million, two hundred forty-six thousand, five hundred twenty-seven".