72267 has 16 divisors (see below), whose sum is σ = 110880. Its totient is φ = 41472.

The previous prime is 72253. The next prime is 72269. The reversal of 72267 is 76227.

It is not a de Polignac number, because 72267 - 2⁴ = 72251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁷²²⁶⁷ is an apocalyptic number.

72267 is a deficient number, since it is larger than the sum of its proper divisors (38613).

72267 is a wasteful number, since it uses less digits than its factorization.

72267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

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

The square root of 72267 is about 268.8252220310. The cubic root of 72267 is about 41.6530373200.

The spelling of 72267 in words is "seventy-two thousand, two hundred sixty-seven".