165728100 has 72 divisors (see below), whose sum is σ = 483281568. Its totient is φ = 43846400.

The previous prime is 165728099. The next prime is 165728107. The reversal of 165728100 is 1827561.

165728100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165728100² = 54931606259220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (165728107) 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, 37192 + ... + 41408.

It is an arithmetic number, because the mean of its divisors is an integer number (6712244).

Almost surely, 2^165728100 is an apocalyptic number.

165728100 is a gapful number since it is divisible by the number (10) 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 165728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241640784).

165728100 is an abundant number, since it is smaller than the sum of its proper divisors (317553468).

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

165728100 is a wasteful number, since it uses less digits than its factorization.

165728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 165728100 is about 12873.5426359647. The cubic root of 165728100 is about 549.2862366476.

The spelling of 165728100 in words is "one hundred sixty-five million, seven hundred twenty-eight thousand, one hundred".