72116881 has 16 divisors (see below), whose sum is σ = 77898240. Its totient is φ = 66608640.

The previous prime is 72116867. The next prime is 72116887. The reversal of 72116881 is 18861127.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72116881 is a prime.

It is a super-2 number, since 2×72116881² = 10401689050336322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72116887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86790 + ... + 87616.

It is an arithmetic number, because the mean of its divisors is an integer number (4868640).

Almost surely, 2^72116881 is an apocalyptic number.

It is an amenable number.

72116881 is a deficient number, since it is larger than the sum of its proper divisors (5781359).

72116881 is a wasteful number, since it uses less digits than its factorization.

72116881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its digits is 5376, while the sum is 34.

The square root of 72116881 is about 8492.1658603680. The cubic root of 72116881 is about 416.2417561276.

The spelling of 72116881 in words is "seventy-two million, one hundred sixteen thousand, eight hundred eighty-one".