73533568 has 64 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 33820672.

The previous prime is 73533563. The next prime is 73533587. The reversal of 73533568 is 86533537.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73533568.

It is not an unprimeable number, because it can be changed into a prime (73533563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101913 + ... + 102631.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^73533568 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 73533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

73533568 is an abundant number, since it is smaller than the sum of its proper divisors (85096832).

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

73533568 is a wasteful number, since it uses less digits than its factorization.

73533568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its digits is 226800, while the sum is 40.

The square root of 73533568 is about 8575.1716017815. The cubic root of 73533568 is about 418.9496961537.

The spelling of 73533568 in words is "seventy-three million, five hundred thirty-three thousand, five hundred sixty-eight".