73044400 has 120 divisors (see below), whose sum is σ = 206330544. Its totient is φ = 24499200.

The previous prime is 73044397. The next prime is 73044437. The reversal of 73044400 is 444037.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 56562 + ... + 57838.

Almost surely, 2^73044400 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 73044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103165272).

73044400 is an abundant number, since it is smaller than the sum of its proper divisors (133286144).

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

73044400 is a wasteful number, since it uses less digits than its factorization.

73044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 73044400 is about 8546.6016638194. The cubic root of 73044400 is about 418.0186342738.

Adding to 73044400 its reverse (444037), we get a palindrome (73488437).

The spelling of 73044400 in words is "seventy-three million, forty-four thousand, four hundred".