267872 has 24 divisors (see below), whose sum is σ = 576072. Its totient is φ = 121600.

The previous prime is 267863. The next prime is 267877. The reversal of 267872 is 278762.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹⁰ + 6³ + 8⁴ + 7² + 7³ + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267877) 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, 29 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (24003).

2²⁶⁷⁸⁷² is an apocalyptic number.

267872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

267872 is an abundant number, since it is smaller than the sum of its proper divisors (308200).

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

267872 is a wasteful number, since it uses less digits than its factorization.

267872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 267872 is about 517.5635226714. The cubic root of 267872 is about 64.4627912708.

The spelling of 267872 in words is "two hundred sixty-seven thousand, eight hundred seventy-two".