72731211 has 32 divisors (see below), whose sum is σ = 114213888. Its totient is φ = 40310400.

The previous prime is 72731209. The next prime is 72731273. The reversal of 72731211 is 11213727.

It is not a de Polignac number, because 72731211 - 2¹ = 72731209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72731201) 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 31 ways as a sum of consecutive naturals, for example, 112090 + ... + 112736.

It is an arithmetic number, because the mean of its divisors is an integer number (3569184).

Almost surely, 2^72731211 is an apocalyptic number.

72731211 is a deficient number, since it is larger than the sum of its proper divisors (41482677).

72731211 is a wasteful number, since it uses less digits than its factorization.

72731211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its digits is 588, while the sum is 24.

The square root of 72731211 is about 8528.2595528044. The cubic root of 72731211 is about 417.4203388237.

Adding to 72731211 its reverse (11213727), we get a palindrome (83944938).

The spelling of 72731211 in words is "seventy-two million, seven hundred thirty-one thousand, two hundred eleven".