73565665825 has 24 divisors (see below), whose sum is σ = 91453318488. Its totient is φ = 58703124480.

The previous prime is 73565665763. The next prime is 73565665861. The reversal of 73565665825 is 52856656537.

It can be written as a sum of positive squares in 12 ways, for example, as 54816388641 + 18749277184 = 234129^2 + 136928^2 .

It is not a de Polignac number, because 73565665825 - 2¹¹ = 73565663777 is a prime.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73565665825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30740829 + ... + 30743221.

It is an arithmetic number, because the mean of its divisors is an integer number (3810554937).

Almost surely, 2^73565665825 is an apocalyptic number.

It is an amenable number.

73565665825 is a deficient number, since it is larger than the sum of its proper divisors (17887652663).

73565665825 is a wasteful number, since it uses less digits than its factorization.

73565665825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5008 counting only the distinct ones).

The product of its digits is 45360000, while the sum is 58.

The spelling of 73565665825 in words is "seventy-three billion, five hundred sixty-five million, six hundred sixty-five thousand, eight hundred twenty-five".