165948272 has 40 divisors (see below), whose sum is σ = 372508896. Its totient is φ = 70142976.

The previous prime is 165948257. The next prime is 165948287. The reversal of 165948272 is 272849561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165948257) and next prime (165948287).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1973 + ... + 18324.

Almost surely, 2^165948272 is an apocalyptic number.

It is an amenable number.

165948272 is an abundant number, since it is smaller than the sum of its proper divisors (206560624).

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

165948272 is a wasteful number, since it uses less digits than its factorization.

165948272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20385 (or 20379 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 165948272 is about 12882.0911345946. The cubic root of 165948272 is about 549.5293737160.

The spelling of 165948272 in words is "one hundred sixty-five million, nine hundred forty-eight thousand, two hundred seventy-two".