73351200 has 144 divisors (see below), whose sum is σ = 257233536. Its totient is φ = 18048000.

The previous prime is 73351199. The next prime is 73351207. The reversal of 73351200 is 215337.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73351207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30025 + ... + 32375.

It is an arithmetic number, because the mean of its divisors is an integer number (1786344).

Almost surely, 2^73351200 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 73351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128616768).

73351200 is an abundant number, since it is smaller than the sum of its proper divisors (183882336).

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

73351200 is a wasteful number, since it uses less digits than its factorization.

73351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 73351200 is about 8564.5315108300. The cubic root of 73351200 is about 418.6030686704.

Adding to 73351200 its reverse (215337), we get a palindrome (73566537).

The spelling of 73351200 in words is "seventy-three million, three hundred fifty-one thousand, two hundred".