7216 has 20 divisors (see below), whose sum is σ = 15624. Its totient is φ = 3200.

The previous prime is 7213. The next prime is 7219. The reversal of 7216 is 6127.

It is an interprime number because it is at equal distance from previous prime (7213) and next prime (7219).

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a nialpdrome in base 15.

It is a zygodrome in base 2 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 7216.

It is not an unprimeable number, because it can be changed into a prime (7211) 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, 156 + ... + 196.

2⁷²¹⁶ 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 7216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812).

7216 is an abundant number, since it is smaller than the sum of its proper divisors (8408).

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

7216 is a wasteful number, since it uses less digits than its factorization.

7216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 7216 is about 84.9470423264. The cubic root of 7216 is about 19.3240806564.

Subtracting from 7216 its reverse (6127), we obtain a square (1089 = 33²).

It can be divided in two parts, 721 and 6, that added together give a palindrome (727).

The spelling of 7216 in words is "seven thousand, two hundred sixteen".