166532772 has 72 divisors (see below), whose sum is σ = 458498880. Its totient is φ = 46898880.

The previous prime is 166532771. The next prime is 166532803. The reversal of 166532772 is 277235661.

166532772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166532772.

It is not an unprimeable number, because it can be changed into a prime (166532771) 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, 39754 + ... + 43742.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2^166532772 is an apocalyptic number.

166532772 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 166532772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229249440).

166532772 is an abundant number, since it is smaller than the sum of its proper divisors (291966108).

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

166532772 is a wasteful number, since it uses less digits than its factorization.

166532772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4072 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 166532772 is about 12904.7577272880. The cubic root of 166532772 is about 550.1737985179.

The spelling of 166532772 in words is "one hundred sixty-six million, five hundred thirty-two thousand, seven hundred seventy-two".