165598272 has 168 divisors, whose sum is σ = 551460416. Its totient is φ = 46531584.

The previous prime is 165598271. The next prime is 165598291. The reversal of 165598272 is 272895561.

165598272 is a `hidden beast` number, since 16 + 559 + 82 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (165598271) 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 23 ways as a sum of consecutive naturals, for example, 269838 + ... + 270450.

Almost surely, 2^165598272 is an apocalyptic number.

165598272 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 165598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275730208).

165598272 is an abundant number, since it is smaller than the sum of its proper divisors (385862144).

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

165598272 is a wasteful number, since it uses less digits than its factorization.

165598272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 692 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 165598272 is about 12868.4992131950. The cubic root of 165598272 is about 549.1427659803.

The spelling of 165598272 in words is "one hundred sixty-five million, five hundred ninety-eight thousand, two hundred seventy-two".