73283200 has 48 divisors (see below), whose sum is σ = 181040310. Its totient is φ = 29312000.

The previous prime is 73283183. The next prime is 73283201. The reversal of 73283200 is 238237.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 70157376 + 3125824 = 8376^2 + 1768^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (73283201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8251 + ... + 14650.

Almost surely, 2^73283200 is an apocalyptic number.

It is an amenable number.

73283200 is an abundant number, since it is smaller than the sum of its proper divisors (107757110).

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

73283200 is a wasteful number, since it uses less digits than its factorization.

73283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22925 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 73283200 is about 8560.5607292981. The cubic root of 73283200 is about 418.4736737897.

The spelling of 73283200 in words is "seventy-three million, two hundred eighty-three thousand, two hundred".