72532933923527 has 24 divisors (see below), whose sum is σ = 92047254106752. Its totient is φ = 56518094833200.

The previous prime is 72532933923481. The next prime is 72532933923547.

It is a happy number.

72532933923527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72532933923527 - 2¹⁰ = 72532933922503 is a prime.

It is a super-2 number, since 2×72532933923527² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72532933923527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72532933923547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27708758 + ... + 30213260.

It is an arithmetic number, because the mean of its divisors is an integer number (3835302254448).

Almost surely, 2^{72532933923527} is an apocalyptic number.

72532933923527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72532933923527 is a deficient number, since it is larger than the sum of its proper divisors (19514320183225).

72532933923527 is a wasteful number, since it uses less digits than its factorization.

72532933923527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558259 (or 2558252 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 62.

The spelling of 72532933923527 in words is "seventy-two trillion, five hundred thirty-two billion, nine hundred thirty-three million, nine hundred twenty-three thousand, five hundred twenty-seven".