72220167 has 20 divisors (see below), whose sum is σ = 108175936. Its totient is φ = 48016800.

The previous prime is 72220123. The next prime is 72220217. The reversal of 72220167 is 76102227.

It is not a de Polignac number, because 72220167 - 2⁷ = 72220039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72220167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72220117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36042 + ... + 37992.

Almost surely, 2^72220167 is an apocalyptic number.

72220167 is a deficient number, since it is larger than the sum of its proper divisors (35955769).

72220167 is a wasteful number, since it uses less digits than its factorization.

72220167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72220167 is about 8498.2449364560. The cubic root of 72220167 is about 416.4403755416.

The spelling of 72220167 in words is "seventy-two million, two hundred twenty thousand, one hundred sixty-seven".