73132800 has 216 divisors, whose sum is σ = 260806224. Its totient is φ = 17940480.

The previous prime is 73132789. The next prime is 73132837. The reversal of 73132800 is 823137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249454 + ... + 249746.

Almost surely, 2^73132800 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 73132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130403112).

73132800 is an abundant number, since it is smaller than the sum of its proper divisors (187673424).

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

73132800 is a wasteful number, since it uses less digits than its factorization.

73132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73132800 is about 8551.7717462524. The cubic root of 73132800 is about 418.1871981894.

Adding to 73132800 its reverse (823137), we get a palindrome (73955937).

The spelling of 73132800 in words is "seventy-three million, one hundred thirty-two thousand, eight hundred".