166672800 has 216 divisors, whose sum is σ = 671894496. Its totient is φ = 38085120.

The previous prime is 166672787. The next prime is 166672823. The reversal of 166672800 is 8276661.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48747 + ... + 52053.

Almost surely, 2^166672800 is an apocalyptic number.

166672800 is a gapful number since it is divisible by the number (10) 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 166672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335947248).

166672800 is an abundant number, since it is smaller than the sum of its proper divisors (505221696).

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

166672800 is a wasteful number, since it uses less digits than its factorization.

166672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 166672800 is about 12910.1820281513. The cubic root of 166672800 is about 550.3279586731.

The spelling of 166672800 in words is "one hundred sixty-six million, six hundred seventy-two thousand, eight hundred".