73879168 has 64 divisors (see below), whose sum is σ = 162155520. Its totient is φ = 33249280.

The previous prime is 73879147. The next prime is 73879181. The reversal of 73879168 is 86197837.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 192705 + ... + 193087.

It is an arithmetic number, because the mean of its divisors is an integer number (2533680).

Almost surely, 2^73879168 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 73879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81077760).

73879168 is an abundant number, since it is smaller than the sum of its proper divisors (88276352).

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

73879168 is a wasteful number, since it uses less digits than its factorization.

73879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

The square root of 73879168 is about 8595.2991803660. The cubic root of 73879168 is about 419.6050103561.

It can be divided in two parts, 73879 and 168, that added together give a palindrome (74047).

The spelling of 73879168 in words is "seventy-three million, eight hundred seventy-nine thousand, one hundred sixty-eight".