166205728 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 70726656.

The previous prime is 166205693. The next prime is 166205729. The reversal of 166205728 is 827502661.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (166205729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277173 + ... + 277771.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^166205728 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 166205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

166205728 is an abundant number, since it is smaller than the sum of its proper divisors (214818272).

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

166205728 is a wasteful number, since it uses less digits than its factorization.

166205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 166205728 is about 12892.0800493947. The cubic root of 166205728 is about 549.8134110866.

The spelling of 166205728 in words is "one hundred sixty-six million, two hundred five thousand, seven hundred twenty-eight".