7152 has 20 divisors (see below), whose sum is σ = 18600. Its totient is φ = 2368.

The previous prime is 7151. The next prime is 7159. The reversal of 7152 is 2517.

It is a happy number.

It is a super-2 number, since 2×7152² = 102302208, which contains 22 as substring.

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 7152.

It is not an unprimeable number, because it can be changed into a prime (7151) 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, 27 + ... + 122.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

2⁷¹⁵² is an apocalyptic number.

It is an amenable number.

7152 is an abundant number, since it is smaller than the sum of its proper divisors (11448).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300).

7152 is a wasteful number, since it uses less digits than its factorization.

7152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 7152 is about 84.5694980475. The cubic root of 7152 is about 19.2667813411.

Adding to 7152 its reverse (2517), we get a palindrome (9669).

It can be divided in two parts, 715 and 2, that added together give a palindrome (717).

The spelling of 7152 in words is "seven thousand, one hundred fifty-two".