73118016 has 84 divisors (see below), whose sum is σ = 213117684. Its totient is φ = 23961600.

The previous prime is 73117999. The next prime is 73118021. The reversal of 73118016 is 61081137.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 60840000 = 3504^2 + 7800^2 .

It is a congruent number.

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, 34096 + ... + 36176.

Almost surely, 2^73118016 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 73118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106558842).

73118016 is an abundant number, since it is smaller than the sum of its proper divisors (139999668).

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

73118016 is a wasteful number, since it uses less digits than its factorization.

73118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 73118016 is about 8550.9073202789. The cubic root of 73118016 is about 418.1590170532.

It can be divided in two parts, 73 and 118016, that multiplied together give a palindrome (8615168).

The spelling of 73118016 in words is "seventy-three million, one hundred eighteen thousand, sixteen".