7592 has 16 divisors (see below), whose sum is σ = 15540. Its totient is φ = 3456.

The previous prime is 7591. The next prime is 7603. The reversal of 7592 is 2957.

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 196 = 86^2 + 14^2 .

It is a magnanimous number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (7591) by changing a digit.

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, 68 + ... + 140.

2⁷⁵⁹² 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 7592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770).

7592 is an abundant number, since it is smaller than the sum of its proper divisors (7948).

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

7592 is a wasteful number, since it uses less digits than its factorization.

7592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 7592 is about 87.1320836432. The cubic root of 7592 is about 19.6540504484.

Subtracting from 7592 its sum of digits (23), we obtain a square (7569 = 87²).

The spelling of 7592 in words is "seven thousand, five hundred ninety-two".