73200300 has 144 divisors (see below), whose sum is σ = 231985152. Its totient is φ = 17740800.

The previous prime is 73200299. The next prime is 73200313. The reversal of 73200300 is 300237.

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 73200300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157869 + ... + 158331.

It is an arithmetic number, because the mean of its divisors is an integer number (1611008).

Almost surely, 2^73200300 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 73200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115992576).

73200300 is an abundant number, since it is smaller than the sum of its proper divisors (158784852).

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

73200300 is a wasteful number, since it uses less digits than its factorization.

73200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 521 counting only the distinct ones).

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

The square root of 73200300 is about 8555.7173866368. The cubic root of 73200300 is about 418.3158178868.

Adding to 73200300 its reverse (300237), we get a palindrome (73500537).

The spelling of 73200300 in words is "seventy-three million, two hundred thousand, three hundred".