165346272 has 240 divisors, whose sum is σ = 599350752. Its totient is φ = 43545600.

The previous prime is 165346243. The next prime is 165346283. The reversal of 165346272 is 272643561.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235522 + ... + 236222.

Almost surely, 2^165346272 is an apocalyptic number.

165346272 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 165346272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299675376).

165346272 is an abundant number, since it is smaller than the sum of its proper divisors (434004480).

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

165346272 is a wasteful number, since it uses less digits than its factorization.

165346272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 726 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 165346272 is about 12858.7041337765. The cubic root of 165346272 is about 548.8640709790.

The spelling of 165346272 in words is "one hundred sixty-five million, three hundred forty-six thousand, two hundred seventy-two".