329214072 has 64 divisors (see below), whose sum is σ = 912620160. Its totient is φ = 98121600.

The previous prime is 329214043. The next prime is 329214073. The reversal of 329214072 is 270412923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329214073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5883 + ... + 26325.

It is an arithmetic number, because the mean of its divisors is an integer number (14259690).

Almost surely, 2^329214072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329214072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456310080).

329214072 is an abundant number, since it is smaller than the sum of its proper divisors (583406088).

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

329214072 is a wasteful number, since it uses less digits than its factorization.

329214072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20524 (or 20520 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 329214072 is about 18144.2572733083. The cubic root of 329214072 is about 690.4932914468.

Adding to 329214072 its reverse (270412923), we get a palindrome (599626995).

The spelling of 329214072 in words is "three hundred twenty-nine million, two hundred fourteen thousand, seventy-two".