161875872 has 72 divisors (see below), whose sum is σ = 471596580. Its totient is φ = 52638720.

The previous prime is 161875859. The next prime is 161875891. The reversal of 161875872 is 278578161.

It is a happy number.

161875872 is a `hidden beast` number, since 1 + 61 + 8 + 7 + 587 + 2 = 666.

161875872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 160883856 + 992016 = 12684^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 4954 + ... + 18662.

Almost surely, 2^161875872 is an apocalyptic number.

161875872 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 161875872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235798290).

161875872 is an abundant number, since it is smaller than the sum of its proper divisors (309720708).

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

161875872 is a wasteful number, since it uses less digits than its factorization.

161875872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 13755 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 161875872 is about 12723.0449185720. The cubic root of 161875872 is about 544.9969104558.

The spelling of 161875872 in words is "one hundred sixty-one million, eight hundred seventy-five thousand, eight hundred seventy-two".