7266 has 16 divisors (see below), whose sum is σ = 16704. Its totient is φ = 2064.

The previous prime is 7253. The next prime is 7283. The reversal of 7266 is 6627.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a plaindrome in base 13 and base 15.

It is a zygodrome in base 13.

It is an unprimeable number.

7266 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (1044).

2⁷²⁶⁶ is an apocalyptic number.

7266 is an abundant number, since it is smaller than the sum of its proper divisors (9438).

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 (8352).

7266 is a wasteful number, since it uses less digits than its factorization.

7266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185.

The product of its digits is 504, while the sum is 21.

The square root of 7266 is about 85.2408352845. The cubic root of 7266 is about 19.3686104494.

It can be divided in two parts, 726 and 6, that multiplied together give a square (4356 = 66²).

The spelling of 7266 in words is "seven thousand, two hundred sixty-six".