9272 has 16 divisors (see below), whose sum is σ = 18600. Its totient is φ = 4320.

The previous prime is 9257. The next prime is 9277. The reversal of 9272 is 2729.

It is a d-powerful number, because it can be written as 9³ + 7³ + 2³ + 2¹³ .

It is an alternating number because its digits alternate between odd and even.

9272 is an undulating number in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9272.

It is not an unprimeable number, because it can be changed into a prime (9277) by changing a digit.

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, 122 + ... + 182.

2⁹²⁷² is an apocalyptic number.

It is an amenable number.

9272 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300).

9272 is a wasteful number, since it uses less digits than its factorization.

9272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 9272 is about 96.2912249377. The cubic root of 9272 is about 21.0083111472.

It can be divided in two parts, 927 and 2, that added together give a palindrome (929).

The spelling of 9272 in words is "nine thousand, two hundred seventy-two".