It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is an Ulam number.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319872.
It is an unprimeable number.
319872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
2319872 is an apocalyptic number.
319872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
319872 is a wasteful number, since it uses less digits than its factorization.
319872 is an evil number, because the sum of its binary digits is even.
The square root of 319872 is about 565.5722765483. The cubic root of 319872 is about 68.3899167791.
The spelling of 319872 in words is "three hundred nineteen thousand, eight hundred seventy-two".