166383072 has 72 divisors (see below), whose sum is σ = 490698936. Its totient is φ = 55458432.

The previous prime is 166383047. The next prime is 166383073. The reversal of 166383072 is 270383661.

It is a happy number.

166383072 is a `hidden beast` number, since 16 + 638 + 3 + 0 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166383073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2923 + ... + 18474.

It is an arithmetic number, because the mean of its divisors is an integer number (6815263).

Almost surely, 2^166383072 is an apocalyptic number.

166383072 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 166383072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245349468).

166383072 is an abundant number, since it is smaller than the sum of its proper divisors (324315864).

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

166383072 is an equidigital number, since it uses as much as digits as its factorization.

166383072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21422 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 166383072 is about 12898.9562368434. The cubic root of 166383072 is about 550.0088946220.

The spelling of 166383072 in words is "one hundred sixty-six million, three hundred eighty-three thousand, seventy-two".