72205165 has 16 divisors (see below), whose sum is σ = 91093248. Its totient is φ = 54837376.

The previous prime is 72205153. The next prime is 72205193. The reversal of 72205165 is 56150227.

It is a cyclic number.

It is not a de Polignac number, because 72205165 - 2¹³ = 72196973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13464 + ... + 18046.

It is an arithmetic number, because the mean of its divisors is an integer number (5693328).

Almost surely, 2^72205165 is an apocalyptic number.

It is an amenable number.

72205165 is a deficient number, since it is larger than the sum of its proper divisors (18888083).

72205165 is a wasteful number, since it uses less digits than its factorization.

72205165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 72205165 is about 8497.3622377771. The cubic root of 72205165 is about 416.4115383926.

The spelling of 72205165 in words is "seventy-two million, two hundred five thousand, one hundred sixty-five".