7272 has 24 divisors (see below), whose sum is σ = 19890. Its totient is φ = 2400.

The previous prime is 7253. The next prime is 7283. The reversal of 7272 is 2727.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 2916 = 66^2 + 54^2 .

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 (18).

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

7272 is an undulating number in base 10.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

7272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a Kaprekar number, because its square (52881984) can be partitioned into two parts whose sum is 7272.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22 + ... + 122.

2⁷²⁷² is an apocalyptic number.

7272 is a gapful number since it is divisible by the number (72) 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 7272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945).

7272 is an abundant number, since it is smaller than the sum of its proper divisors (12618).

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

7272 is a wasteful number, since it uses less digits than its factorization.

7272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its digits is 196, while the sum is 18.

The square root of 7272 is about 85.2760224213. The cubic root of 7272 is about 19.3739402820.

7272 divided by its sum of digits (18) gives a palindrome (404).

Adding to 7272 its reverse (2727), we get a palindrome (9999).

It can be divided in two parts, 727 and 2, that added together give a 6-th power (729 = 3⁶).

The spelling of 7272 in words is "seven thousand, two hundred seventy-two", and thus it is an iban number.