7264 has 12 divisors (see below), whose sum is σ = 14364. Its totient is φ = 3616.

The previous prime is 7253. The next prime is 7283. The reversal of 7264 is 4627.

7264 is nontrivially palindromic in base 3.

It is a plaindrome in base 15.

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

7264 is a deficient number, since it is larger than the sum of its proper divisors (7100).

7264 is a wasteful number, since it uses less digits than its factorization.

7264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 7264 is about 85.2291030107. The cubic root of 7264 is about 19.3668331866.

It can be divided in two parts, 72 and 64, that added together give a triangular number (136 = T₁₆).

The spelling of 7264 in words is "seven thousand, two hundred sixty-four".