7260 has 36 divisors (see below), whose sum is σ = 22344. Its totient is φ = 1760.

The previous prime is 7253. The next prime is 7283. The reversal of 7260 is 627.

7260 = T₃₃ + T₃₄ + ... + T₄₂.

7260 is a nontrivial binomial coefficient, being equal to C(121, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

7260 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 11 ways as a sum of consecutive naturals, for example, 655 + ... + 665.

2⁷²⁶⁰ is an apocalyptic number.

7260 is the 120-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172).

7260 is an abundant number, since it is smaller than the sum of its proper divisors (15084).

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

7260 is a wasteful number, since it uses less digits than its factorization.

7260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 7260 is about 85.2056336166. The cubic root of 7260 is about 19.3632776820.

Multiplying 7260 by its sum of digits (15), we get a square (108900 = 330²).

7260 divided by its sum of digits (15) gives a palindrome (484).

Adding to 7260 its reverse (627), we get a palindrome (7887).

The spelling of 7260 in words is "seven thousand, two hundred sixty".