393272 has 32 divisors (see below), whose sum is σ = 831600. Its totient is φ = 172800.

The previous prime is 393271. The next prime is 393287. The reversal of 393272 is 272393.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3554 + ... + 3662.

2³⁹³²⁷² 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 393272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415800).

393272 is an abundant number, since it is smaller than the sum of its proper divisors (438328).

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

393272 is a wasteful number, since it uses less digits than its factorization.

393272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 2268, while the sum is 26.

The square root of 393272 is about 627.1140247196. The cubic root of 393272 is about 73.2651892228.

It can be divided in two parts, 3932 and 72, that added together give a palindrome (4004).

The spelling of 393272 in words is "three hundred ninety-three thousand, two hundred seventy-two".