73378116 has 144 divisors (see below), whose sum is σ = 226880640. Its totient is φ = 20088000.

The previous prime is 73378087. The next prime is 73378121. The reversal of 73378116 is 61187337.

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

Its product of digits (21168) is a multiple of the sum of its prime divisors (144).

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 47 ways as a sum of consecutive naturals, for example, 726466 + ... + 726566.

It is an arithmetic number, because the mean of its divisors is an integer number (1575560).

Almost surely, 2^73378116 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 73378116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113440320).

73378116 is an abundant number, since it is smaller than the sum of its proper divisors (153502524).

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

73378116 is a wasteful number, since it uses less digits than its factorization.

73378116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 73378116 is about 8566.1027311141. The cubic root of 73378116 is about 418.6542641171.

The spelling of 73378116 in words is "seventy-three million, three hundred seventy-eight thousand, one hundred sixteen".