73539545625 has 480 divisors, whose sum is σ = 179958594816. Its totient is φ = 29113344000.

The previous prime is 73539545561. The next prime is 73539545633. The reversal of 73539545625 is 52654593537.

73539545625 is a `hidden beast` number, since 7 + 3 + 5 + 3 + 9 + 5 + 4 + 5 + 625 = 666.

It is not a de Polignac number, because 73539545625 - 2⁶ = 73539545561 is a prime.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 234950469 + ... + 234950781.

Almost surely, 2^73539545625 is an apocalyptic number.

73539545625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73539545625 is an abundant number, since it is smaller than the sum of its proper divisors (106419049191).

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

73539545625 is a wasteful number, since it uses less digits than its factorization.

73539545625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 358 counting only the distinct ones).

The product of its digits is 17010000, while the sum is 54.

The spelling of 73539545625 in words is "seventy-three billion, five hundred thirty-nine million, five hundred forty-five thousand, six hundred twenty-five".