72096920166120 has 32 divisors (see below), whose sum is σ = 216290760498720. Its totient is φ = 19225845377600.

The previous prime is 72096920166119. The next prime is 72096920166121. The reversal of 72096920166120 is 2166102969027.

72096920166120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (72096920166119) and next prime (72096920166121).

It is not an unprimeable number, because it can be changed into a prime (72096920166121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300403833906 + ... + 300403834145.

It is an arithmetic number, because the mean of its divisors is an integer number (6759086265585).

Almost surely, 2^{72096920166120} is an apocalyptic number.

It is an amenable number.

72096920166120 is an abundant number, since it is smaller than the sum of its proper divisors (144193840332600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72096920166120 is a wasteful number, since it uses less digits than its factorization.

72096920166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600807668065 (or 600807668061 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 72096920166120 in words is "seventy-two trillion, ninety-six billion, nine hundred twenty million, one hundred sixty-six thousand, one hundred twenty".