72664563101 has 12 divisors (see below), whose sum is σ = 78705239508. Its totient is φ = 67056971904.

The previous prime is 72664563089. The next prime is 72664563109. The reversal of 72664563101 is 10136546627.

It can be written as a sum of positive squares in 6 ways, for example, as 3954523225 + 68710039876 = 62885^2 + 262126^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72664563101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72664563109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595361 + ... + 706953.

It is an arithmetic number, because the mean of its divisors is an integer number (6558769959).

Almost surely, 2^72664563101 is an apocalyptic number.

It is an amenable number.

72664563101 is a deficient number, since it is larger than the sum of its proper divisors (6040676407).

72664563101 is a wasteful number, since it uses less digits than its factorization.

72664563101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115472 (or 115459 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 72664563101 in words is "seventy-two billion, six hundred sixty-four million, five hundred sixty-three thousand, one hundred one".