72116289 has 36 divisors (see below), whose sum is σ = 124025616. Its totient is φ = 40240368.

The previous prime is 72116287. The next prime is 72116327. The reversal of 72116289 is 98261127.

72116289 is a `hidden beast` number, since 7 + 21 + 1 + 628 + 9 = 666.

It is not a de Polignac number, because 72116289 - 2¹ = 72116287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72116281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17062 + ... + 20864.

It is an arithmetic number, because the mean of its divisors is an integer number (3445156).

Almost surely, 2^72116289 is an apocalyptic number.

It is an amenable number.

72116289 is a deficient number, since it is larger than the sum of its proper divisors (51909327).

72116289 is a wasteful number, since it uses less digits than its factorization.

72116289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3856 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 72116289 is about 8492.1310046419. The cubic root of 72116289 is about 416.2406171626.

The spelling of 72116289 in words is "seventy-two million, one hundred sixteen thousand, two hundred eighty-nine".