73768112 has 80 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 31825920.

The previous prime is 73768099. The next prime is 73768157. The reversal of 73768112 is 21186737.

Its product of digits (14112) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495014 + ... + 495162.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 2^73768112 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 73768112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

73768112 is an abundant number, since it is smaller than the sum of its proper divisors (90283888).

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

73768112 is a wasteful number, since it uses less digits than its factorization.

73768112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 73768112 is about 8588.8364753324. The cubic root of 73768112 is about 419.3946532531.

The spelling of 73768112 in words is "seventy-three million, seven hundred sixty-eight thousand, one hundred twelve".