7572 has 12 divisors (see below), whose sum is σ = 17696. Its totient is φ = 2520.

The previous prime is 7561. The next prime is 7573. The reversal of 7572 is 2757.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

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 7572.

It is not an unprimeable number, because it can be changed into a prime (7573) by changing a digit.

7572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304 + ... + 327.

2⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

7572 is an abundant number, since it is smaller than the sum of its proper divisors (10124).

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 (8848).

7572 is a wasteful number, since it uses less digits than its factorization.

7572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its digits is 490, while the sum is 21.

The square root of 7572 is about 87.0172396712. The cubic root of 7572 is about 19.6367767091.

It can be divided in two parts, 7 and 572, that multiplied together give a palindrome (4004).

The spelling of 7572 in words is "seven thousand, five hundred seventy-two".