72950228649 has 9 divisors (see below), whose sum is σ = 105373722909. Its totient is φ = 48632945580.

The previous prime is 72950228621. The next prime is 72950228651. The reversal of 72950228649 is 94682205927.

The square root of 72950228649 is 270093.

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

72950228649 is a `hidden beast` number, since 72 + 9 + 502 + 2 + 8 + 64 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 72950228649 - 2²⁵ = 72916674217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72950228595 and 72950228604.

It is not an unprimeable number, because it can be changed into a prime (72950228609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 765264 + ... + 855294.

Almost surely, 2^72950228649 is an apocalyptic number.

72950228649 is the 270093-rd square number.

72950228649 is the 135047-th centered octagonal number.

It is an amenable number.

72950228649 is a deficient number, since it is larger than the sum of its proper divisors (32423494260).

72950228649 is an frugal number, since it uses more digits than its factorization.

72950228649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180068 (or 90034 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 72950228649 in words is "seventy-two billion, nine hundred fifty million, two hundred twenty-eight thousand, six hundred forty-nine".