329672 has 36 divisors (see below), whose sum is σ = 744705. Its totient is φ = 136416.

The previous prime is 329671. The next prime is 329677. The reversal of 329672 is 276923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 329476 + 196 = 574^2 + 14^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=406.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (329671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11354 + ... + 11382.

2³²⁹⁶⁷² 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 329672

329672 is an abundant number, since it is smaller than the sum of its proper divisors (415033).

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

329672 is a wasteful number, since it uses less digits than its factorization.

329672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 329672 is about 574.1707063235. The cubic root of 329672 is about 69.0813295709.

It can be divided in two parts, 329 and 672, that added together give a palindrome (1001).

The spelling of 329672 in words is "three hundred twenty-nine thousand, six hundred seventy-two".