264072 has 16 divisors (see below), whose sum is σ = 660240. Its totient is φ = 88016.

The previous prime is 264071. The next prime is 264083. The reversal of 264072 is 270462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (264071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5478 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (41265).

2²⁶⁴⁰⁷² is an apocalyptic number.

It is an amenable number.

264072 is an abundant number, since it is smaller than the sum of its proper divisors (396168).

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

264072 is a wasteful number, since it uses less digits than its factorization.

264072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11012 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 264072 is about 513.8793632751. The cubic root of 264072 is about 64.1565179504.

The spelling of 264072 in words is "two hundred sixty-four thousand, seventy-two".