73088008 has 48 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 30649248.

The previous prime is 73087999. The next prime is 73088021. The reversal of 73088008 is 80088037.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16441 + ... + 20407.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^73088008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73088008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

73088008 is an abundant number, since it is smaller than the sum of its proper divisors (89758712).

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

73088008 is a wasteful number, since it uses less digits than its factorization.

73088008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 73088008 is about 8549.1524726139. The cubic root of 73088008 is about 418.1018043740.

The spelling of 73088008 in words is "seventy-three million, eighty-eight thousand, eight".