165305230272 has 840 divisors, whose sum is σ = 620697225456. Its totient is φ = 43113627648.

The previous prime is 165305230261. The next prime is 165305230313. The reversal of 165305230272 is 272032503561.

165305230272 is a `hidden beast` number, since 1 + 6 + 530 + 52 + 3 + 0 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 373149283 + ... + 373149725.

Almost surely, 2^165305230272 is an apocalyptic number.

165305230272 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 165305230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310348612728).

165305230272 is an abundant number, since it is smaller than the sum of its proper divisors (455391995184).

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

165305230272 is a wasteful number, since it uses less digits than its factorization.

165305230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 165305230272 in words is "one hundred sixty-five billion, three hundred five million, two hundred thirty thousand, two hundred seventy-two".