321120072 has 384 divisors, whose sum is σ = 1201132800. Its totient is φ = 77137920.

The previous prime is 321120061. The next prime is 321120091. The reversal of 321120072 is 270021123.

It is a super-3 number, since 3×321120072³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10358697 + ... + 10358727.

It is an arithmetic number, because the mean of its divisors is an integer number (3127950).

Almost surely, 2^321120072 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 321120072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600566400).

321120072 is an abundant number, since it is smaller than the sum of its proper divisors (880012728).

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

321120072 is a wasteful number, since it uses less digits than its factorization.

321120072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 321120072 is about 17919.8234366302. The cubic root of 321120072 is about 684.7874894449.

Adding to 321120072 its reverse (270021123), we get a palindrome (591141195).

The spelling of 321120072 in words is "three hundred twenty-one million, one hundred twenty thousand, seventy-two".