73685900 has 36 divisors (see below), whose sum is σ = 162927072. Its totient is φ = 28916160.

The previous prime is 73685881. The next prime is 73685903. The reversal of 73685900 is 958637.

73685900 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×73685900³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

73685900 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (73685903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1652 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (4525752).

Almost surely, 2^73685900 is an apocalyptic number.

It is an amenable number.

73685900 is an abundant number, since it is smaller than the sum of its proper divisors (89241172).

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

73685900 is a wasteful number, since it uses less digits than its factorization.

73685900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13970 (or 13963 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 73685900 is about 8584.0491610894. The cubic root of 73685900 is about 419.2387950786.

The spelling of 73685900 in words is "seventy-three million, six hundred eighty-five thousand, nine hundred".