73006 has 8 divisors (see below), whose sum is σ = 110664. Its totient is φ = 36120.

The previous prime is 72997. The next prime is 73009. The reversal of 73006 is 60037.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73009) by changing a digit.

73006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (13833).

2⁷³⁰⁰⁶ is an apocalyptic number.

73006 is a deficient number, since it is larger than the sum of its proper divisors (37658).

73006 is a wasteful number, since it uses less digits than its factorization.

73006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 73006 is about 270.1962249921. The cubic root of 73006 is about 41.7945369569.

The spelling of 73006 in words is "seventy-three thousand, six".