321107072 has 128 divisors (see below), whose sum is σ = 768035520. Its totient is φ = 131788800.

The previous prime is 321107063. The next prime is 321107123. The reversal of 321107072 is 270701123.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969947 + ... + 970277.

Almost surely, 2^321107072 is an apocalyptic number.

321107072 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 321107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384017760).

321107072 is an abundant number, since it is smaller than the sum of its proper divisors (446928448).

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

321107072 is a wasteful number, since it uses less digits than its factorization.

321107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 321107072 is about 17919.4607061708. The cubic root of 321107072 is about 684.7782485012.

Adding to 321107072 its reverse (270701123), we get a palindrome (591808195).

It can be divided in two parts, 32 and 1107072, that multiplied together give a square (35426304 = 5952²).

The spelling of 321107072 in words is "three hundred twenty-one million, one hundred seven thousand, seventy-two".