321072 has 20 divisors (see below), whose sum is σ = 829560. Its totient is φ = 107008.

The previous prime is 321053. The next prime is 321073. The reversal of 321072 is 270123.

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

It is not an unprimeable number, because it can be changed into a prime (321073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3297 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (41478).

2³²¹⁰⁷² is an apocalyptic number.

It is an amenable number.

321072 is an abundant number, since it is smaller than the sum of its proper divisors (508488).

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

321072 is a wasteful number, since it uses less digits than its factorization.

321072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 321072 is about 566.6321558119. The cubic root of 321072 is about 68.4753316613.

Adding to 321072 its reverse (270123), we get a palindrome (591195).

The spelling of 321072 in words is "three hundred twenty-one thousand, seventy-two", and thus it is an iban number.