7236 has 24 divisors (see below), whose sum is σ = 19040. Its totient is φ = 2376.

The previous prime is 7229. The next prime is 7237. The reversal of 7236 is 6327.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (7237) 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 7 ways as a sum of consecutive naturals, for example, 75 + ... + 141.

2⁷²³⁶ 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 7236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520).

7236 is an abundant number, since it is smaller than the sum of its proper divisors (11804).

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

7236 is a wasteful number, since it uses less digits than its factorization.

7236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 7236 is about 85.0646812725. The cubic root of 7236 is about 19.3419171818.

Subtracting from 7236 its reverse (6327), we obtain a palindrome (909).

It can be divided in two parts, 723 and 6, that added together give a 6-th power (729 = 3⁶).

The spelling of 7236 in words is "seven thousand, two hundred thirty-six".