267072 has 56 divisors (see below), whose sum is σ = 768096. Its totient is φ = 81408.

The previous prime is 267049. The next prime is 267097. The reversal of 267072 is 270762.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2443 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2²⁶⁷⁰⁷² 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 267072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048).

267072 is an abundant number, since it is smaller than the sum of its proper divisors (501024).

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

267072 is a wasteful number, since it uses less digits than its factorization.

267072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 267072 is about 516.7900927843. The cubic root of 267072 is about 64.3985545501.

The spelling of 267072 in words is "two hundred sixty-seven thousand, seventy-two".