321516272 has 80 divisors (see below), whose sum is σ = 803520000. Its totient is φ = 120933120.

The previous prime is 321516269. The next prime is 321516323. The reversal of 321516272 is 272615123.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31229 + ... + 40227.

It is an arithmetic number, because the mean of its divisors is an integer number (10044000).

Almost surely, 2^321516272 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 321516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760000).

321516272 is an abundant number, since it is smaller than the sum of its proper divisors (482003728).

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

321516272 is a wasteful number, since it uses less digits than its factorization.

321516272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 9048 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 321516272 is about 17930.8748252839. The cubic root of 321516272 is about 685.0690054269.

The spelling of 321516272 in words is "three hundred twenty-one million, five hundred sixteen thousand, two hundred seventy-two".