395201072 has 60 divisors (see below), whose sum is σ = 907616016. Its totient is φ = 166158720.

The previous prime is 395201069. The next prime is 395201087. The reversal of 395201072 is 270102593.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36797 + ... + 46307.

Almost surely, 2^395201072 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 395201072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453808008).

395201072 is an abundant number, since it is smaller than the sum of its proper divisors (512414944).

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

395201072 is a wasteful number, since it uses less digits than its factorization.

395201072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 395201072 is about 19879.6647859062. The cubic root of 395201072 is about 733.8478699333.

The spelling of 395201072 in words is "three hundred ninety-five million, two hundred one thousand, seventy-two".