73118916 has 96 divisors (see below), whose sum is σ = 214972800. Its totient is φ = 21306240.

The previous prime is 73118911. The next prime is 73118923. The reversal of 73118916 is 61981137.

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

It is not an unprimeable number, because it can be changed into a prime (73118911) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25306 + ... + 28046.

It is an arithmetic number, because the mean of its divisors is an integer number (2239300).

Almost surely, 2^73118916 is an apocalyptic number.

73118916 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73118916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107486400).

73118916 is an abundant number, since it is smaller than the sum of its proper divisors (141853884).

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

73118916 is a wasteful number, since it uses less digits than its factorization.

73118916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2778 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 73118916 is about 8550.9599461113. The cubic root of 73118916 is about 418.1607327342.

It can be divided in two parts, 73 and 118916, that multiplied together give a palindrome (8680868).

The spelling of 73118916 in words is "seventy-three million, one hundred eighteen thousand, nine hundred sixteen".