72232209 has 32 divisors (see below), whose sum is σ = 123156480. Its totient is φ = 40986000.

The previous prime is 72232187. The next prime is 72232247. The reversal of 72232209 is 90223227.

It is not a de Polignac number, because 72232209 - 2¹⁵ = 72199441 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (72232249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27274 + ... + 29804.

It is an arithmetic number, because the mean of its divisors is an integer number (3848640).

Almost surely, 2^72232209 is an apocalyptic number.

It is an amenable number.

72232209 is a deficient number, since it is larger than the sum of its proper divisors (50924271).

72232209 is a wasteful number, since it uses less digits than its factorization.

72232209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72232209 is about 8498.9534061554. The cubic root of 72232209 is about 416.4635200293.

The spelling of 72232209 in words is "seventy-two million, two hundred thirty-two thousand, two hundred nine".