165351072 has 96 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 51867648.

The previous prime is 165351047. The next prime is 165351077. The reversal of 165351072 is 270153561.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (165351077) by changing a digit.

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, 490488 + ... + 490824.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^165351072 is an apocalyptic number.

165351072 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 165351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

165351072 is an abundant number, since it is smaller than the sum of its proper divisors (294599328).

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

165351072 is a wasteful number, since it uses less digits than its factorization.

165351072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 165351072 is about 12858.8907764239. The cubic root of 165351072 is about 548.8693820997.

It can be divided in two parts, 1653 and 51072, that added together give a palindrome (52725).

The spelling of 165351072 in words is "one hundred sixty-five million, three hundred fifty-one thousand, seventy-two".