73536064 has 84 divisors (see below), whose sum is σ = 171998640. Its totient is φ = 31100160.

The previous prime is 73536053. The next prime is 73536097. The reversal of 73536064 is 46063537.

It is a super-2 number, since 2×73536064² = 10815105417224192, which contains 22 as substring.

It is an unprimeable number.

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, 410727 + ... + 410905.

Almost surely, 2^73536064 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 73536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85999320).

73536064 is an abundant number, since it is smaller than the sum of its proper divisors (98462576).

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

73536064 is a wasteful number, since it uses less digits than its factorization.

73536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 73536064 is about 8575.3171369927. The cubic root of 73536064 is about 418.9544363317.

The spelling of 73536064 in words is "seventy-three million, five hundred thirty-six thousand, sixty-four".