166375872 has 168 divisors, whose sum is σ = 544196016. Its totient is φ = 48144384.

The previous prime is 166375849. The next prime is 166375873. The reversal of 166375872 is 278573661.

166375872 is a `hidden beast` number, since 1 + 6 + 63 + 7 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166375873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126643 + ... + 127949.

It is an arithmetic number, because the mean of its divisors is an integer number (3239262).

Almost surely, 2^166375872 is an apocalyptic number.

166375872 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 166375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272098008).

166375872 is an abundant number, since it is smaller than the sum of its proper divisors (377820144).

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

166375872 is a wasteful number, since it uses less digits than its factorization.

166375872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1342 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 166375872 is about 12898.6771414746. The cubic root of 166375872 is about 550.0009608799. Note that the first 3 decimals are identical.

The spelling of 166375872 in words is "one hundred sixty-six million, three hundred seventy-five thousand, eight hundred seventy-two".