72969676641 has 27 divisors (see below), whose sum is σ = 106387157331. Its totient is φ = 48195335664.

The previous prime is 72969676631. The next prime is 72969676699. The reversal of 72969676641 is 14667696927.

The square root of 72969676641 is 270129.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9737545041 + 63232131600 = 98679^2 + 251460^2 .

It is not a de Polignac number, because 72969676641 - 2¹⁷ = 72969545569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72969676621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102918795 + ... + 102919503.

Almost surely, 2^72969676641 is an apocalyptic number.

72969676641 is the 270129-th square number.

72969676641 is the 135065-th centered octagonal number.

It is an amenable number.

72969676641 is a deficient number, since it is larger than the sum of its proper divisors (33417480690).

72969676641 is an frugal number, since it uses more digits than its factorization.

72969676641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 72969676641 in words is "seventy-two billion, nine hundred sixty-nine million, six hundred seventy-six thousand, six hundred forty-one".