73411200 has 144 divisors (see below), whose sum is σ = 262050750. Its totient is φ = 19568640.

The previous prime is 73411199. The next prime is 73411213. The reversal of 73411200 is 211437.

It can be written as a sum of positive squares in 3 ways, for example, as 67765824 + 5645376 = 8232^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 27526 + ... + 30074.

Almost surely, 2^73411200 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 73411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131025375).

73411200 is an abundant number, since it is smaller than the sum of its proper divisors (188639550).

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

73411200 is a wasteful number, since it uses less digits than its factorization.

73411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73411200 is about 8568.0336133794. The cubic root of 73411200 is about 418.7171742294.

Adding to 73411200 its reverse (211437), we get a palindrome (73622637).

The spelling of 73411200 in words is "seventy-three million, four hundred eleven thousand, two hundred".