72265167 has 12 divisors (see below), whose sum is σ = 112412664. Its totient is φ = 44470800.

The previous prime is 72265163. The next prime is 72265169. The reversal of 72265167 is 76156227.

It is not a de Polignac number, because 72265167 - 2² = 72265163 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72265163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308709 + ... + 308942.

It is an arithmetic number, because the mean of its divisors is an integer number (9367722).

Almost surely, 2^72265167 is an apocalyptic number.

72265167 is a deficient number, since it is larger than the sum of its proper divisors (40147497).

72265167 is a wasteful number, since it uses less digits than its factorization.

72265167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617670 (or 617667 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72265167 is about 8500.8921296532. The cubic root of 72265167 is about 416.5268515072.

The spelling of 72265167 in words is "seventy-two million, two hundred sixty-five thousand, one hundred sixty-seven".