73109568 has 168 divisors, whose sum is σ = 237439200. Its totient is φ = 19740672.

The previous prime is 73109539. The next prime is 73109593. The reversal of 73109568 is 86590137.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178548 + ... + 178956.

Almost surely, 2^73109568 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 73109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118719600).

73109568 is an abundant number, since it is smaller than the sum of its proper divisors (164329632).

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

73109568 is a wasteful number, since it uses less digits than its factorization.

With its successor (73109569) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (457).

73109568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 73109568 is about 8550.4133233429. The cubic root of 73109568 is about 418.1429118412.

The spelling of 73109568 in words is "seventy-three million, one hundred nine thousand, five hundred sixty-eight".