162121872 has 80 divisors (see below), whose sum is σ = 468095040. Its totient is φ = 47923200.

The previous prime is 162121853. The next prime is 162121903. The reversal of 162121872 is 278121261.

162121872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 17904 + ... + 25392.

It is an arithmetic number, because the mean of its divisors is an integer number (5851188).

Almost surely, 2^162121872 is an apocalyptic number.

162121872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162121872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234047520).

162121872 is an abundant number, since it is smaller than the sum of its proper divisors (305973168).

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

162121872 is a wasteful number, since it uses less digits than its factorization.

162121872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7546 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 162121872 is about 12732.7087455891. The cubic root of 162121872 is about 545.2728448932.

The spelling of 162121872 in words is "one hundred sixty-two million, one hundred twenty-one thousand, eight hundred seventy-two".