73905 has 16 divisors (see below), whose sum is σ = 127680. Its totient is φ = 36288.

The previous prime is 73897. The next prime is 73907. The reversal of 73905 is 50937.

It is not a de Polignac number, because 73905 - 2³ = 73897 is a prime.

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73907) 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, 6 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁷³⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

73905 is a deficient number, since it is larger than the sum of its proper divisors (53775).

73905 is a wasteful number, since it uses less digits than its factorization.

73905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 73905 is about 271.8547406245. The cubic root of 73905 is about 41.9653909903.

The spelling of 73905 in words is "seventy-three thousand, nine hundred five".