73645 has 16 divisors (see below), whose sum is σ = 104832. Its totient is φ = 48960.

The previous prime is 73643. The next prime is 73651. The reversal of 73645 is 54637.

It is not a de Polignac number, because 73645 - 2¹ = 73643 is a prime.

It is a super-3 number, since 3×73645³ = 1198259978433375, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁷³⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

73645 is a deficient number, since it is larger than the sum of its proper divisors (31187).

73645 is a wasteful number, since it uses less digits than its factorization.

73645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 2520, while the sum is 25.

The square root of 73645 is about 271.3761227522. The cubic root of 73645 is about 41.9161213342.

The spelling of 73645 in words is "seventy-three thousand, six hundred forty-five".