166729728 has 96 divisors (see below), whose sum is σ = 485110080. Its totient is φ = 50503680.

The previous prime is 166729723. The next prime is 166729751. The reversal of 166729728 is 827927661.

166729728 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166729721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66351 + ... + 68817.

It is an arithmetic number, because the mean of its divisors is an integer number (5053230).

Almost surely, 2^166729728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242555040).

166729728 is an abundant number, since it is smaller than the sum of its proper divisors (318380352).

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

166729728 is a wasteful number, since it uses less digits than its factorization.

166729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2483 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 166729728 is about 12912.3866113124. The cubic root of 166729728 is about 550.3906073753.

The spelling of 166729728 in words is "one hundred sixty-six million, seven hundred twenty-nine thousand, seven hundred twenty-eight".