72193209 has 16 divisors (see below), whose sum is σ = 108630720. Its totient is φ = 42244160.

The previous prime is 72193201. The next prime is 72193213. The reversal of 72193209 is 90239127.

It is a cyclic number.

It is not a de Polignac number, because 72193209 - 2³ = 72193201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72193209.

It is not an unprimeable number, because it can be changed into a prime (72193201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36762 + ... + 38675.

It is an arithmetic number, because the mean of its divisors is an integer number (6789420).

Almost surely, 2^72193209 is an apocalyptic number.

It is an amenable number.

72193209 is a deficient number, since it is larger than the sum of its proper divisors (36437511).

72193209 is a wasteful number, since it uses less digits than its factorization.

72193209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75480.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 72193209 is about 8496.6586962170. The cubic root of 72193209 is about 416.3885534664.

The spelling of 72193209 in words is "seventy-two million, one hundred ninety-three thousand, two hundred nine".