73785573225 has 243 divisors, whose sum is σ = 167311185093. Its totient is φ = 30979428480.

The previous prime is 73785573203. The next prime is 73785573259. The reversal of 73785573225 is 52237558737.

The square root of 73785573225 is 271635.

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

73785573225 is a `hidden beast` number, since 7 + 37 + 8 + 557 + 32 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19018340649 + 54767232576 = 137907^2 + 234024^2 .

It is not a de Polignac number, because 73785573225 - 2⁷ = 73785573097 is a prime.

It is a super-2 number, since 2×73785573225² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 370781676 + ... + 370781874.

Almost surely, 2^73785573225 is an apocalyptic number.

73785573225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73785573225 is the 271635-th square number.

73785573225 is the 135818-th centered octagonal number.

It is an amenable number.

73785573225 is an abundant number, since it is smaller than the sum of its proper divisors (93525611868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73785573225 is a wasteful number, since it uses less digits than its factorization.

73785573225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 54.

The spelling of 73785573225 in words is "seventy-three billion, seven hundred eighty-five million, five hundred seventy-three thousand, two hundred twenty-five".