73285160 has 96 divisors (see below), whose sum is σ = 184002840. Its totient is φ = 26237952.

The previous prime is 73285127. The next prime is 73285231. The reversal of 73285160 is 6158237.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12974404 + 60310756 = 3602^2 + 7766^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249974 + ... + 250266.

Almost surely, 2^73285160 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 73285160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92001420).

73285160 is an abundant number, since it is smaller than the sum of its proper divisors (110717680).

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

73285160 is a wasteful number, since it uses less digits than its factorization.

73285160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 73285160 is about 8560.6752070149. The cubic root of 73285160 is about 418.4774045269.

The spelling of 73285160 in words is "seventy-three million, two hundred eighty-five thousand, one hundred sixty".