72117211 has 8 divisors (see below), whose sum is σ = 73648944. Its totient is φ = 70600320.

The previous prime is 72117209. The next prime is 72117239. The reversal of 72117211 is 11271127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72117211 - 2¹ = 72117209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72117271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6396 + ... + 13606.

It is an arithmetic number, because the mean of its divisors is an integer number (9206118).

Almost surely, 2^72117211 is an apocalyptic number.

72117211 is a deficient number, since it is larger than the sum of its proper divisors (1531733).

72117211 is a wasteful number, since it uses less digits than its factorization.

72117211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421.

The product of its digits is 196, while the sum is 22.

The square root of 72117211 is about 8492.1852900181. The cubic root of 72117211 is about 416.2423910208.

Adding to 72117211 its reverse (11271127), we get a palindrome (83388338).

The spelling of 72117211 in words is "seventy-two million, one hundred seventeen thousand, two hundred eleven".