329031072 has 120 divisors (see below), whose sum is σ = 984007332. Its totient is φ = 107827200.

The previous prime is 329031041. The next prime is 329031083. The reversal of 329031072 is 270130923.

It can be written as a sum of positive squares in 2 ways, for example, as 287505936 + 41525136 = 16956^2 + 6444^2 .

It is a super-2 number, since 2×329031072² = 216522892682938368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157072 + ... + 159152.

Almost surely, 2^329031072 is an apocalyptic number.

329031072 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 329031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492003666).

329031072 is an abundant number, since it is smaller than the sum of its proper divisors (654976260).

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

329031072 is a wasteful number, since it uses less digits than its factorization.

329031072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 329031072 is about 18139.2136544008. The cubic root of 329031072 is about 690.3653263895.

Adding to 329031072 its reverse (270130923), we get a palindrome (599161995).

The spelling of 329031072 in words is "three hundred twenty-nine million, thirty-one thousand, seventy-two".