20272 has 20 divisors (see below), whose sum is σ = 45136. Its totient is φ = 8640.

The previous prime is 20269. The next prime is 20287. The reversal of 20272 is 27202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 202.

2²⁰²⁷² 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 20272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22568).

20272 is an abundant number, since it is smaller than the sum of its proper divisors (24864).

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

20272 is a wasteful number, since it uses less digits than its factorization.

20272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 20272 is about 142.3797738445. The cubic root of 20272 is about 27.2666760986.

Adding to 20272 its reverse (27202), we get a palindrome (47474).

It can be divided in two parts, 20 and 272, that added together give a palindrome (292).

The spelling of 20272 in words is "twenty thousand, two hundred seventy-two", and thus it is an iban number.