268072 has 16 divisors (see below), whose sum is σ = 574560. Its totient is φ = 114864.

The previous prime is 268069. The next prime is 268091. The reversal of 268072 is 270862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2338 + ... + 2449.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2²⁶⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

268072 is an abundant number, since it is smaller than the sum of its proper divisors (306488).

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

268072 is a wasteful number, since it uses less digits than its factorization.

268072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 268072 is about 517.7566996187. The cubic root of 268072 is about 64.4788304623.

The spelling of 268072 in words is "two hundred sixty-eight thousand, seventy-two".