73344500 has 36 divisors (see below), whose sum is σ = 160603716. Its totient is φ = 29261200.

The previous prime is 73344497. The next prime is 73344521. The reversal of 73344500 is 544337.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2347024 + 70997476 = 1532^2 + 8426^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73344500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191309 + ... + 191691.

Almost surely, 2^73344500 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 73344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80301858).

73344500 is an abundant number, since it is smaller than the sum of its proper divisors (87259216).

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

73344500 is an equidigital number, since it uses as much as digits as its factorization.

73344500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 73344500 is about 8564.1403538242. The cubic root of 73344500 is about 418.5903230214.

Adding to 73344500 its reverse (544337), we get a palindrome (73888837).

The spelling of 73344500 in words is "seventy-three million, three hundred forty-four thousand, five hundred".