10272 has 24 divisors (see below), whose sum is σ = 27216. Its totient is φ = 3392.

The previous prime is 10271. The next prime is 10273. The reversal of 10272 is 27201.

It is an interprime number because it is at equal distance from previous prime (10271) and next prime (10273).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2¹⁰²⁷² is an apocalyptic number.

10272 is a gapful number since it is divisible by the number (12) 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 10272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608).

10272 is an abundant number, since it is smaller than the sum of its proper divisors (16944).

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

10272 is a wasteful number, since it uses less digits than its factorization.

10272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10272 is about 101.3508756746. The cubic root of 10272 is about 21.7379375577.

Adding to 10272 its reverse (27201), we get a palindrome (37473).

It can be divided in two parts, 10 and 272, that added together give a palindrome (282).

The spelling of 10272 in words is "ten thousand, two hundred seventy-two", and thus it is an iban number.