73185525 has 72 divisors (see below), whose sum is σ = 155448384. Its totient is φ = 33436800.

The previous prime is 73185523. The next prime is 73185529. The reversal of 73185525 is 52558137.

It is not a de Polignac number, because 73185525 - 2¹ = 73185523 is a prime.

It is a super-2 number, since 2×73185525² = 10712242139051250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73185525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73185523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41665 + ... + 43385.

Almost surely, 2^73185525 is an apocalyptic number.

73185525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73185525 is an abundant number, since it is smaller than the sum of its proper divisors (82262859).

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

73185525 is a wasteful number, since it uses less digits than its factorization.

73185525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1736 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 73185525 is about 8554.8538853682. The cubic root of 73185525 is about 418.2876712258.

The spelling of 73185525 in words is "seventy-three million, one hundred eighty-five thousand, five hundred twenty-five".