38272 has 32 divisors (see below), whose sum is σ = 85680. Its totient is φ = 16896.

The previous prime is 38261. The next prime is 38273. The reversal of 38272 is 27283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 3⁶ + 8⁴ + 2⁸ + 7⁵ + 2¹⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38273) by changing a digit.

38272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1653 + ... + 1675.

2³⁸²⁷² is an apocalyptic number.

38272 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 38272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840).

38272 is an abundant number, since it is smaller than the sum of its proper divisors (47408).

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

38272 is a wasteful number, since it uses less digits than its factorization.

38272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 38272 is about 195.6323081702. The cubic root of 38272 is about 33.6997789875.

It can be divided in two parts, 382 and 72, that added together give a palindrome (454).

The spelling of 38272 in words is "thirty-eight thousand, two hundred seventy-two".