73605 has 16 divisors (see below), whose sum is σ = 134784. Its totient is φ = 33600.

The previous prime is 73597. The next prime is 73607. The reversal of 73605 is 50637.

It is not a de Polignac number, because 73605 - 2³ = 73597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2⁷³⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

73605 is a deficient number, since it is larger than the sum of its proper divisors (61179).

73605 is a wasteful number, since it uses less digits than its factorization.

73605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 73605 is about 271.3024142908. The cubic root of 73605 is about 41.9085310995.

The spelling of 73605 in words is "seventy-three thousand, six hundred five".