165828672 has 168 divisors, whose sum is σ = 505919232. Its totient is φ = 51840000.

The previous prime is 165828667. The next prime is 165828673. The reversal of 165828672 is 276828561.

165828672 is a `hidden beast` number, since 1 + 6 + 582 + 8 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (165828673) 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, 660547 + ... + 660797.

It is an arithmetic number, because the mean of its divisors is an integer number (3011424).

Almost surely, 2^165828672 is an apocalyptic number.

165828672 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 165828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

165828672 is an abundant number, since it is smaller than the sum of its proper divisors (340090560).

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

165828672 is a wasteful number, since it uses less digits than its factorization.

165828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 165828672 is about 12877.4481944211. The cubic root of 165828672 is about 549.3973255225.

The spelling of 165828672 in words is "one hundred sixty-five million, eight hundred twenty-eight thousand, six hundred seventy-two".