268272 has 70 divisors (see below), whose sum is σ = 813192. Its totient is φ = 85536.

The previous prime is 268271. The next prime is 268283. The reversal of 268272 is 272862.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2688) is a multiple of the sum of its prime divisors (28).

It is a nialpdrome in base 6.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268271) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11653 + ... + 11675.

2²⁶⁸²⁷² 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 268272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406596).

268272 is an abundant number, since it is smaller than the sum of its proper divisors (544920).

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

268272 is an equidigital number, since it uses as much as digits as its factorization.

268272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 268272 is about 517.9498045178. The cubic root of 268272 is about 64.4948616783.

The spelling of 268272 in words is "two hundred sixty-eight thousand, two hundred seventy-two".