72106911 has 24 divisors (see below), whose sum is σ = 111056400. Its totient is φ = 44925696.

The previous prime is 72106897. The next prime is 72106913. The reversal of 72106911 is 11960127.

It is not a de Polignac number, because 72106911 - 2¹⁵ = 72074143 is a prime.

It is a super-2 number, since 2×72106911² = 10398813227923842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106913) 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 23 ways as a sum of consecutive naturals, for example, 21216 + ... + 24378.

It is an arithmetic number, because the mean of its divisors is an integer number (4627350).

Almost surely, 2^72106911 is an apocalyptic number.

72106911 is a deficient number, since it is larger than the sum of its proper divisors (38949489).

72106911 is a wasteful number, since it uses less digits than its factorization.

72106911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 72106911 is about 8491.5788284629. The cubic root of 72106911 is about 416.2225737415. Note that the first 3 decimals are identical.

The spelling of 72106911 in words is "seventy-two million, one hundred six thousand, nine hundred eleven".