72536263527 has 64 divisors (see below), whose sum is σ = 127284562944. Its totient is φ = 35653478400.

The previous prime is 72536263511. The next prime is 72536263549.

72536263527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72536263527 - 2⁴ = 72536263511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72536263727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391368 + ... + 546114.

It is an arithmetic number, because the mean of its divisors is an integer number (1988821296).

Almost surely, 2^72536263527 is an apocalyptic number.

72536263527 is a deficient number, since it is larger than the sum of its proper divisors (54748299417).

72536263527 is a wasteful number, since it uses less digits than its factorization.

72536263527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154888.

The product of its digits is 3175200, while the sum is 48.

The spelling of 72536263527 in words is "seventy-two billion, five hundred thirty-six million, two hundred sixty-three thousand, five hundred twenty-seven".