72162170164 has 48 divisors (see below), whose sum is σ = 151974950400. Its totient is φ = 29288398176.

The previous prime is 72162170161. The next prime is 72162170209. The reversal of 72162170164 is 46107126127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72162170161) 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 15 ways as a sum of consecutive naturals, for example, 1553427 + ... + 1599205.

It is an arithmetic number, because the mean of its divisors is an integer number (3166144800).

Almost surely, 2^72162170164 is an apocalyptic number.

It is an amenable number.

72162170164 is an abundant number, since it is smaller than the sum of its proper divisors (79812780236).

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

72162170164 is a wasteful number, since it uses less digits than its factorization.

72162170164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48772 (or 48770 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 72162170164 in words is "seventy-two billion, one hundred sixty-two million, one hundred seventy thousand, one hundred sixty-four".