4272 has 20 divisors (see below), whose sum is σ = 11160. Its totient is φ = 1408.

The previous prime is 4271. The next prime is 4273. The reversal of 4272 is 2724.

4272 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (4271) and next prime (4273).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4272.

It is not an unprimeable number, because it can be changed into a prime (4271) 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, 4 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

2⁴²⁷² 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 4272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580).

4272 is an abundant number, since it is smaller than the sum of its proper divisors (6888).

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

4272 is a wasteful number, since it uses less digits than its factorization.

4272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its digits is 112, while the sum is 15.

The square root of 4272 is about 65.3605385535. The cubic root of 4272 is about 16.2259605099.

Adding to 4272 its reverse (2724), we get a palindrome (6996).

It can be divided in two parts, 4 and 272, that added together give a triangular number (276 = T₂₃).

The spelling of 4272 in words is "four thousand, two hundred seventy-two", and thus it is an iban number.