36073008 has 60 divisors (see below), whose sum is σ = 101369008. Its totient is φ = 11975040.

The previous prime is 36073007. The next prime is 36073033. The reversal of 36073008 is 80037063.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (36073003) 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 11 ways as a sum of consecutive naturals, for example, 56853 + ... + 57483.

Almost surely, 2^36073008 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 36073008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50684504).

36073008 is an abundant number, since it is smaller than the sum of its proper divisors (65296000).

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

36073008 is a wasteful number, since it uses less digits than its factorization.

36073008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36073008 is about 6006.0809185358. The cubic root of 36073008 is about 330.4157844511.

The spelling of 36073008 in words is "thirty-six million, seventy-three thousand, eight".