73116288 has 96 divisors (see below), whose sum is σ = 240483360. Its totient is φ = 20888064.

The previous prime is 73116271. The next prime is 73116293. The reversal of 73116288 is 88261137.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 3531 + ... + 12597.

It is an arithmetic number, because the mean of its divisors is an integer number (2505035).

Almost surely, 2^73116288 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 73116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120241680).

73116288 is an abundant number, since it is smaller than the sum of its proper divisors (167367072).

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

73116288 is a wasteful number, since it uses less digits than its factorization.

73116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9079 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 73116288 is about 8550.8062777729. The cubic root of 73116288 is about 418.1557229062.

The spelling of 73116288 in words is "seventy-three million, one hundred sixteen thousand, two hundred eighty-eight".