165295272 has 64 divisors (see below), whose sum is σ = 426202560. Its totient is φ = 53388800.

The previous prime is 165295259. The next prime is 165295279. The reversal of 165295272 is 272592561.

It is a self number, because there is not a number n which added to its sum of digits gives 165295272.

It is not an unprimeable number, because it can be changed into a prime (165295279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169747 + ... + 170717.

It is an arithmetic number, because the mean of its divisors is an integer number (6659415).

Almost surely, 2^165295272 is an apocalyptic number.

165295272 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 165295272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213101280).

165295272 is an abundant number, since it is smaller than the sum of its proper divisors (260907288).

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

165295272 is a wasteful number, since it uses less digits than its factorization.

165295272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1190 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 165295272 is about 12856.7208883136. The cubic root of 165295272 is about 548.8076339720.

The spelling of 165295272 in words is "one hundred sixty-five million, two hundred ninety-five thousand, two hundred seventy-two".