162016117072 has 40 divisors (see below), whose sum is σ = 318358521320. Its totient is φ = 79860142080.

The previous prime is 162016117063. The next prime is 162016117073. The reversal of 162016117072 is 270711610261.

It can be written as a sum of positive squares in 4 ways, for example, as 49095923776 + 112920193296 = 221576^2 + 336036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162016117073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2491954 + ... + 2556142.

It is an arithmetic number, because the mean of its divisors is an integer number (7958963033).

Almost surely, 2^162016117072 is an apocalyptic number.

It is an amenable number.

162016117072 is a deficient number, since it is larger than the sum of its proper divisors (156342404248).

162016117072 is a wasteful number, since it uses less digits than its factorization.

162016117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66431 (or 66425 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 162016117072 in words is "one hundred sixty-two billion, sixteen million, one hundred seventeen thousand, seventy-two".