166672512 has 128 divisors (see below), whose sum is σ = 509184000. Its totient is φ = 53609472.

The previous prime is 166672507. The next prime is 166672543. The reversal of 166672512 is 215276661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99393 + ... + 101055.

It is an arithmetic number, because the mean of its divisors is an integer number (3978000).

Almost surely, 2^166672512 is an apocalyptic number.

166672512 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 166672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254592000).

166672512 is an abundant number, since it is smaller than the sum of its proper divisors (342511488).

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

166672512 is a wasteful number, since it uses less digits than its factorization.

166672512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1697 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 166672512 is about 12910.1708741596. The cubic root of 166672512 is about 550.3276416957.

The spelling of 166672512 in words is "one hundred sixty-six million, six hundred seventy-two thousand, five hundred twelve".