73968 has 40 divisors (see below), whose sum is σ = 202368. Its totient is φ = 23232.

The previous prime is 73961. The next prime is 73973. The reversal of 73968 is 86937.

It is a happy number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73961) 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, 1071 + ... + 1137.

2⁷³⁹⁶⁸ 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 73968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101184).

73968 is an abundant number, since it is smaller than the sum of its proper divisors (128400).

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

73968 is a wasteful number, since it uses less digits than its factorization.

73968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 73968 is about 271.9705866450. The cubic root of 73968 is about 41.9773120094.

The spelling of 73968 in words is "seventy-three thousand, nine hundred sixty-eight".