73003200 has 168 divisors, whose sum is σ = 244156992. Its totient is φ = 19092480.

The previous prime is 73003199. The next prime is 73003213. The reversal of 73003200 is 230037.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 73003200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321487 + ... + 321713.

Almost surely, 2^73003200 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 73003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122078496).

73003200 is an abundant number, since it is smaller than the sum of its proper divisors (171153792).

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

73003200 is a wasteful number, since it uses less digits than its factorization.

73003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 73003200 is about 8544.1910091009. The cubic root of 73003200 is about 417.9400263459.

Adding to 73003200 its reverse (230037), we get a palindrome (73233237).

The spelling of 73003200 in words is "seventy-three million, three thousand, two hundred".