165405372 has 24 divisors (see below), whose sum is σ = 421032192. Its totient is φ = 50122800.

The previous prime is 165405353. The next prime is 165405403. The reversal of 165405372 is 273504561.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 7 ways as a sum of consecutive naturals, for example, 626404 + ... + 626667.

It is an arithmetic number, because the mean of its divisors is an integer number (17543008).

Almost surely, 2^165405372 is an apocalyptic number.

165405372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165405372 is an abundant number, since it is smaller than the sum of its proper divisors (255626820).

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

165405372 is a wasteful number, since it uses less digits than its factorization.

165405372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253089 (or 1253087 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 165405372 is about 12861.0019827384. The cubic root of 165405372 is about 548.9294569962.

It can be divided in two parts, 16540 and 5372, that added together give a palindrome (21912).

The spelling of 165405372 in words is "one hundred sixty-five million, four hundred five thousand, three hundred seventy-two".