72563322336527 has 16 divisors (see below), whose sum is σ = 80313968584608. Its totient is φ = 65006573690880.

The previous prime is 72563322336499. The next prime is 72563322336551.

72563322336527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72563322336527 - 2¹⁰ = 72563322335503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72563322336727) 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, 38261168 + ... + 40112885.

It is an arithmetic number, because the mean of its divisors is an integer number (5019623036538).

Almost surely, 2^{72563322336527} is an apocalyptic number.

72563322336527 is a deficient number, since it is larger than the sum of its proper divisors (7750646248081).

72563322336527 is a wasteful number, since it uses less digits than its factorization.

72563322336527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78375290.

The product of its digits is 57153600, while the sum is 56.

The spelling of 72563322336527 in words is "seventy-two trillion, five hundred sixty-three billion, three hundred twenty-two million, three hundred thirty-six thousand, five hundred twenty-seven".