397072 has 40 divisors (see below), whose sum is σ = 874944. Its totient is φ = 173184.

The previous prime is 397063. The next prime is 397073. The reversal of 397072 is 270793.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 397072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4743 + ... + 4825.

2³⁹⁷⁰⁷² 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 397072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

397072 is an abundant number, since it is smaller than the sum of its proper divisors (477872).

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

397072 is a wasteful number, since it uses less digits than its factorization.

397072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 397072 is about 630.1364931505. The cubic root of 397072 is about 73.5004087780.

The spelling of 397072 in words is "three hundred ninety-seven thousand, seventy-two".