320205972 has 24 divisors (see below), whose sum is σ = 747806976. Its totient is φ = 106641088.

The previous prime is 320205937. The next prime is 320205983. The reversal of 320205972 is 279502023.

It is a happy number.

It is a super-3 number, since 3×320205972³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3133 + ... + 25499.

It is an arithmetic number, because the mean of its divisors is an integer number (31158624).

Almost surely, 2^320205972 is an apocalyptic number.

It is an amenable number.

320205972 is an abundant number, since it is smaller than the sum of its proper divisors (427601004).

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

320205972 is a wasteful number, since it uses less digits than its factorization.

320205972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23567 (or 23565 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 320205972 is about 17894.2999863085. The cubic root of 320205972 is about 684.1371001812.

Adding to 320205972 its reverse (279502023), we get a palindrome (599707995).

The spelling of 320205972 in words is "three hundred twenty million, two hundred five thousand, nine hundred seventy-two".