73008 has 60 divisors (see below), whose sum is σ = 226920. Its totient is φ = 22464.

The previous prime is 72997. The next prime is 73009. The reversal of 73008 is 80037.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5610 + ... + 5622.

It is an arithmetic number, because the mean of its divisors is an integer number (3782).

2⁷³⁰⁰⁸ is an apocalyptic number.

73008 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460).

73008 is an abundant number, since it is smaller than the sum of its proper divisors (153912).

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

73008 is a wasteful number, since it uses less digits than its factorization.

73008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73008 is about 270.1999259807. The cubic root of 73008 is about 41.7949186073.

The spelling of 73008 in words is "seventy-three thousand, eight".