166656672 has 144 divisors (see below), whose sum is σ = 583390080. Its totient is φ = 43946496.

The previous prime is 166656647. The next prime is 166656709. The reversal of 166656672 is 276656661.

166656672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23029 + ... + 29387.

It is an arithmetic number, because the mean of its divisors is an integer number (4051320).

Almost surely, 2^166656672 is an apocalyptic number.

166656672 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 166656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291695040).

166656672 is an abundant number, since it is smaller than the sum of its proper divisors (416733408).

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

166656672 is a wasteful number, since it uses less digits than its factorization.

166656672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6384 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 166656672 is about 12909.5573897791. The cubic root of 166656672 is about 550.3102073751.

The spelling of 166656672 in words is "one hundred sixty-six million, six hundred fifty-six thousand, six hundred seventy-two".