73584640 has 52 divisors (see below), whose sum is σ = 176630724. Its totient is φ = 29425664.

The previous prime is 73584631. The next prime is 73584647. The reversal of 73584640 is 4648537.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 48664576 = 4992^2 + 6976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73584640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73584647) 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 3 ways as a sum of consecutive naturals, for example, 18684 + ... + 22276.

Almost surely, 2^73584640 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 73584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88315362).

73584640 is an abundant number, since it is smaller than the sum of its proper divisors (103046084).

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

73584640 is an equidigital number, since it uses as much as digits as its factorization.

73584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 73584640 is about 8578.1489844838. The cubic root of 73584640 is about 419.0466661398.

The spelling of 73584640 in words is "seventy-three million, five hundred eighty-four thousand, six hundred forty".