166782672 has 120 divisors (see below), whose sum is σ = 556958400. Its totient is φ = 47646144.

The previous prime is 166782659. The next prime is 166782677. The reversal of 166782672 is 276287661.

166782672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166782677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17229 + ... + 25107.

It is an arithmetic number, because the mean of its divisors is an integer number (4641320).

Almost surely, 2^166782672 is an apocalyptic number.

166782672 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 166782672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278479200).

166782672 is an abundant number, since it is smaller than the sum of its proper divisors (390175728).

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

166782672 is a wasteful number, since it uses less digits than its factorization.

166782672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 7891 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 166782672 is about 12914.4365730759. The cubic root of 166782672 is about 550.4488589277.

The spelling of 166782672 in words is "one hundred sixty-six million, seven hundred eighty-two thousand, six hundred seventy-two".