262272 has 32 divisors (see below), whose sum is σ = 697680. Its totient is φ = 87296.

The previous prime is 262271. The next prime is 262303. The reversal of 262272 is 272262.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (262271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 725.

262272 is a Friedman number, since it can be written as 2^7+(2*(2+2))^6, using all its digits and the basic arithmetic operations.

2²⁶²²⁷² 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 262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348840).

262272 is an abundant number, since it is smaller than the sum of its proper divisors (435408).

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

262272 is an equidigital number, since it uses as much as digits as its factorization.

262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

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

The square root of 262272 is about 512.1249847449. The cubic root of 262272 is about 64.0104149717.

The spelling of 262272 in words is "two hundred sixty-two thousand, two hundred seventy-two".