7072 has 24 divisors (see below), whose sum is σ = 15876. Its totient is φ = 3072.

The previous prime is 7069. The next prime is 7079. The reversal of 7072 is 2707.

7072 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 16 = 84^2 + 4^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (7079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 408 + ... + 424.

2⁷⁰⁷² 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 7072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938).

7072 is an abundant number, since it is smaller than the sum of its proper divisors (8804).

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

7072 is a wasteful number, since it uses less digits than its factorization.

7072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 7072 is about 84.0951841665. The cubic root of 7072 is about 19.1946744489.

Subtracting from 7072 its sum of digits (16), we obtain a square (7056 = 84²).

Adding to 7072 its reverse (2707), we get a palindrome (9779).

The spelling of 7072 in words is "seven thousand, seventy-two", and thus it is an iban number.