165651072 has 128 divisors (see below), whose sum is σ = 460468800. Its totient is φ = 52715520.

The previous prime is 165651067. The next prime is 165651091. The reversal of 165651072 is 270156561.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1264447 + ... + 1264577.

Almost surely, 2^165651072 is an apocalyptic number.

165651072 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 165651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230234400).

165651072 is an abundant number, since it is smaller than the sum of its proper divisors (294817728).

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

165651072 is a wasteful number, since it uses less digits than its factorization.

165651072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 165651072 is about 12870.5505709740. The cubic root of 165651072 is about 549.2011233868.

The spelling of 165651072 in words is "one hundred sixty-five million, six hundred fifty-one thousand, seventy-two".