166329072 has 160 divisors (see below), whose sum is σ = 587740160. Its totient is φ = 43856640.

The previous prime is 166329061. The next prime is 166329109. The reversal of 166329072 is 270923661.

166329072 is a `hidden beast` number, since 16 + 632 + 9 + 0 + 7 + 2 = 666.

166329072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37197 + ... + 41427.

It is an arithmetic number, because the mean of its divisors is an integer number (3673376).

Almost surely, 2^166329072 is an apocalyptic number.

166329072 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 166329072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293870080).

166329072 is an abundant number, since it is smaller than the sum of its proper divisors (421411088).

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

166329072 is a wasteful number, since it uses less digits than its factorization.

166329072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 166329072 is about 12896.8628743582. The cubic root of 166329072 is about 549.9493859760.

The spelling of 166329072 in words is "one hundred sixty-six million, three hundred twenty-nine thousand, seventy-two".