73795568 has 120 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 27941760.

The previous prime is 73795567. The next prime is 73795583. The reversal of 73795568 is 86559737.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73795567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370733 + ... + 370931.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 2^73795568 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 73795568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

73795568 is an abundant number, since it is smaller than the sum of its proper divisors (112799632).

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

73795568 is a wasteful number, since it uses less digits than its factorization.

73795568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 50.

The square root of 73795568 is about 8590.4346805037. The cubic root of 73795568 is about 419.4466787647.

The spelling of 73795568 in words is "seventy-three million, seven hundred ninety-five thousand, five hundred sixty-eight".