72048209 has 16 divisors (see below), whose sum is σ = 78936000. Its totient is φ = 65499840.

The previous prime is 72048199. The next prime is 72048239. The reversal of 72048209 is 90284027.

It is not a de Polignac number, because 72048209 - 2⁸ = 72047953 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72048239) 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, 125894 + ... + 126464.

It is an arithmetic number, because the mean of its divisors is an integer number (4933500).

Almost surely, 2^72048209 is an apocalyptic number.

It is an amenable number.

72048209 is a deficient number, since it is larger than the sum of its proper divisors (6887791).

72048209 is a wasteful number, since it uses less digits than its factorization.

72048209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 72048209 is about 8488.1216414469. The cubic root of 72048209 is about 416.1095945994.

The spelling of 72048209 in words is "seventy-two million, forty-eight thousand, two hundred nine".