2116000072 has 64 divisors (see below), whose sum is σ = 4164177600. Its totient is φ = 1007139840.

The previous prime is 2116000057. The next prime is 2116000093. The reversal of 2116000072 is 2700006112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2780172 + ... + 2780932.

It is an arithmetic number, because the mean of its divisors is an integer number (65065275).

Almost surely, 2^2116000072 is an apocalyptic number.

It is an amenable number.

2116000072 is a deficient number, since it is larger than the sum of its proper divisors (2048177528).

2116000072 is a wasteful number, since it uses less digits than its factorization.

2116000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2116000072 is about 46000.0007826087. Note that the first 3 decimals coincide. The cubic root of 2116000072 is about 1283.8232191605.

Adding to 2116000072 its reverse (2700006112), we get a palindrome (4816006184).

The spelling of 2116000072 in words is "two billion, one hundred sixteen million, seventy-two", and thus it is an aban number.