30272 has 28 divisors (see below), whose sum is σ = 67056. Its totient is φ = 13440.

The previous prime is 30271. The next prime is 30293. The reversal of 30272 is 27203.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (30271) 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, 683 + ... + 725.

2³⁰²⁷² is an apocalyptic number.

30272 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 30272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33528).

30272 is an abundant number, since it is smaller than the sum of its proper divisors (36784).

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

30272 is a wasteful number, since it uses less digits than its factorization.

30272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 30272 is about 173.9885053675. The cubic root of 30272 is about 31.1659501426.

Adding to 30272 its reverse (27203), we get a palindrome (57475).

The spelling of 30272 in words is "thirty thousand, two hundred seventy-two".