165609472 has 102 divisors (see below), whose sum is σ = 399504408. Its totient is φ = 67239936.

The previous prime is 165609463. The next prime is 165609473. The reversal of 165609472 is 274906561.

It is a super-2 number, since 2×165609472² = 54852994432237568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165609473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8716279 + ... + 8716297.

Almost surely, 2^165609472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199752204).

165609472 is an abundant number, since it is smaller than the sum of its proper divisors (233894936).

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

165609472 is an frugal number, since it uses more digits than its factorization.

165609472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 165609472 is about 12868.9343770182. The cubic root of 165609472 is about 549.1551458606.

The spelling of 165609472 in words is "one hundred sixty-five million, six hundred nine thousand, four hundred seventy-two".