73408500 has 144 divisors (see below), whose sum is σ = 252802368. Its totient is φ = 17784000.

The previous prime is 73408453. The next prime is 73408519. The reversal of 73408500 is 580437.

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 47 ways as a sum of consecutive naturals, for example, 48759 + ... + 50241.

It is an arithmetic number, because the mean of its divisors is an integer number (1755572).

Almost surely, 2^73408500 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 73408500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126401184).

73408500 is an abundant number, since it is smaller than the sum of its proper divisors (179393868).

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

73408500 is a wasteful number, since it uses less digits than its factorization.

73408500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73408500 is about 8567.8760495236. The cubic root of 73408500 is about 418.7120408155.

Adding to 73408500 its reverse (580437), we get a palindrome (73988937).

The spelling of 73408500 in words is "seventy-three million, four hundred eight thousand, five hundred".