329902272 has 168 divisors, whose sum is σ = 1144499616. Its totient is φ = 88694784.

The previous prime is 329902247. The next prime is 329902273. The reversal of 329902272 is 272209923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (329902273) 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 23 ways as a sum of consecutive naturals, for example, 66138 + ... + 70950.

Almost surely, 2^329902272 is an apocalyptic number.

329902272 is a gapful number since it is divisible by the number (32) 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 329902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572249808).

329902272 is an abundant number, since it is smaller than the sum of its proper divisors (814597344).

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

329902272 is a wasteful number, since it uses less digits than its factorization.

329902272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 329902272 is about 18163.2120507360. The cubic root of 329902272 is about 690.9740999184.

The spelling of 329902272 in words is "three hundred twenty-nine million, nine hundred two thousand, two hundred seventy-two".