72220267 has 24 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 57818880.

The previous prime is 72220261. The next prime is 72220289. The reversal of 72220267 is 76202227.

It is not a de Polignac number, because 72220267 - 2³ = 72220259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72220261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150534 + ... + 151012.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^72220267 is an apocalyptic number.

72220267 is a deficient number, since it is larger than the sum of its proper divisors (17411093).

72220267 is a wasteful number, since it uses less digits than its factorization.

72220267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 72220267 is about 8498.2508200217. The cubic root of 72220267 is about 416.4405677502.

The spelling of 72220267 in words is "seventy-two million, two hundred twenty thousand, two hundred sixty-seven".