9672 has 32 divisors (see below), whose sum is σ = 26880. Its totient is φ = 2880.

The previous prime is 9661. The next prime is 9677. The reversal of 9672 is 2769.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 9672.

It is not an unprimeable number, because it can be changed into a prime (9677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁹⁶⁷² 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 9672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

9672 is an abundant number, since it is smaller than the sum of its proper divisors (17208).

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

9672 is a wasteful number, since it uses less digits than its factorization.

9672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 49 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 9672 is about 98.3463268252. The cubic root of 9672 is about 21.3061720305.

Subtracting from 9672 its reverse (2769), we obtain a triangular number (6903 = T₁₁₇).

It can be divided in two parts, 967 and 2, that added together give a palindrome (969).

The spelling of 9672 in words is "nine thousand, six hundred seventy-two".