73641568 has 192 divisors, whose sum is σ = 206599680. Its totient is φ = 25090560.

The previous prime is 73641563. The next prime is 73641571. The reversal of 73641568 is 86514637.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 73641568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73641563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3875863 + ... + 3875881.

It is an arithmetic number, because the mean of its divisors is an integer number (1076040).

Almost surely, 2^73641568 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 73641568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103299840).

73641568 is an abundant number, since it is smaller than the sum of its proper divisors (132958112).

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

73641568 is a wasteful number, since it uses less digits than its factorization.

73641568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 73641568 is about 8581.4665413320. The cubic root of 73641568 is about 419.1547019989.

The spelling of 73641568 in words is "seventy-three million, six hundred forty-one thousand, five hundred sixty-eight".