72206167 has 4 divisors (see below), whose sum is σ = 78770376. Its totient is φ = 65641960.

The previous prime is 72206119. The next prime is 72206179. The reversal of 72206167 is 76160227.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72206167 - 2¹⁵ = 72173399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72206117) 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, 3282088 + ... + 3282109.

It is an arithmetic number, because the mean of its divisors is an integer number (19692594).

Almost surely, 2^72206167 is an apocalyptic number.

72206167 is a deficient number, since it is larger than the sum of its proper divisors (6564209).

72206167 is a wasteful number, since it uses less digits than its factorization.

72206167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564208.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 72206167 is about 8497.4211970456. The cubic root of 72206167 is about 416.4134645818.

The spelling of 72206167 in words is "seventy-two million, two hundred six thousand, one hundred sixty-seven".