72563706433 has 4 divisors (see below), whose sum is σ = 72564956208. Its totient is φ = 72562456660.

The previous prime is 72563706421. The next prime is 72563706443. The reversal of 72563706433 is 33460736527.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33460736527 = 907 ⋅36891661.

It is a cyclic number.

It is not a de Polignac number, because 72563706433 - 2⁵ = 72563706401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72563706443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 533323 + ... + 655408.

It is an arithmetic number, because the mean of its divisors is an integer number (18141239052).

Almost surely, 2^72563706433 is an apocalyptic number.

It is an amenable number.

72563706433 is a deficient number, since it is larger than the sum of its proper divisors (1249775).

72563706433 is a wasteful number, since it uses less digits than its factorization.

72563706433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249774.

The product of its (nonzero) digits is 1905120, while the sum is 46.

The spelling of 72563706433 in words is "seventy-two billion, five hundred sixty-three million, seven hundred six thousand, four hundred thirty-three".