73064016 has 60 divisors (see below), whose sum is σ = 206811540. Its totient is φ = 24076800.

The previous prime is 73063979. The next prime is 73064029. The reversal of 73064016 is 61046037.

73064016 is a `hidden beast` number, since 7 + 3 + 0 + 640 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 34574400 = 6204^2 + 5880^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9966 + ... + 15666.

It is an arithmetic number, because the mean of its divisors is an integer number (3446859).

Almost surely, 2^73064016 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 73064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103405770).

73064016 is an abundant number, since it is smaller than the sum of its proper divisors (133747524).

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

73064016 is a wasteful number, since it uses less digits than its factorization.

73064016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5795 counting only the distinct ones).

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

The square root of 73064016 is about 8547.7491774151. The cubic root of 73064016 is about 418.0560504189.

It can be divided in two parts, 730 and 64016, that added together give a palindrome (64746).

The spelling of 73064016 in words is "seventy-three million, sixty-four thousand, sixteen".