33872 has 20 divisors (see below), whose sum is σ = 68820.
Its totient is φ = 16128.
The previous prime is 33871. The next prime is 33889. The reversal of 33872 is 27833.
33872 is nontrivially palindromic in base 9.
It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 15376 = 136^2 + 124^2
It is a super-2 number, since 2×338722 = 2294624768, which contains 22 as substring.
It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.
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 (33871) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 500.
It is an arithmetic number, because the mean of its divisors is an integer number (3441).
233872 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 33872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410).
33872 is an abundant number, since it is smaller than the sum of its proper divisors (34948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33872 is a wasteful number, since it uses less digits than its factorization.
33872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110 (or 104 counting only the distinct ones).
The product of its digits is 1008, while the sum is 23.
The square root of 33872 is about 184.0434731252.
The cubic root of 33872 is about 32.3554129371.
It can be divided in two parts, 338 and 72, that multiplied together give a square (24336 = 1562).
The spelling of 33872 in words is "thirty-three thousand, eight hundred seventy-two".