73131168 has 96 divisors (see below), whose sum is σ = 218598912. Its totient is φ = 21190400.

The previous prime is 73131151. The next prime is 73131187. The reversal of 73131168 is 86113137.

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

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, 22783 + ... + 25793.

It is an arithmetic number, because the mean of its divisors is an integer number (2277072).

Almost surely, 2^73131168 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 73131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109299456).

73131168 is an abundant number, since it is smaller than the sum of its proper divisors (145467744).

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

73131168 is a wasteful number, since it uses less digits than its factorization.

73131168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3050 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 73131168 is about 8551.6763268964. The cubic root of 73131168 is about 418.1840874712.

The spelling of 73131168 in words is "seventy-three million, one hundred thirty-one thousand, one hundred sixty-eight".