165673728 has 144 divisors (see below), whose sum is σ = 534710400. Its totient is φ = 50181120.

The previous prime is 165673693. The next prime is 165673733. The reversal of 165673728 is 827376561.

165673728 is a `hidden beast` number, since 16 + 567 + 3 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74943 + ... + 77121.

Almost surely, 2^165673728 is an apocalyptic number.

165673728 is a gapful number since it is divisible by the number (18) 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 165673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267355200).

165673728 is an abundant number, since it is smaller than the sum of its proper divisors (369036672).

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

165673728 is a wasteful number, since it uses less digits than its factorization.

165673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2195 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 165673728 is about 12871.4306897097. The cubic root of 165673728 is about 549.2261602173.

The spelling of 165673728 in words is "one hundred sixty-five million, six hundred seventy-three thousand, seven hundred twenty-eight".