363272 has 32 divisors (see below), whose sum is σ = 840000. Its totient is φ = 143424.

The previous prime is 363271. The next prime is 363277. The reversal of 363272 is 272363.

363272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (363271) 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, 479 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (26250).

2³⁶³²⁷² 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 363272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420000).

363272 is an abundant number, since it is smaller than the sum of its proper divisors (476728).

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

363272 is a wasteful number, since it uses less digits than its factorization.

363272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 1512, while the sum is 23.

The square root of 363272 is about 602.7204990707. The cubic root of 363272 is about 71.3527378039.

Subtracting from 363272 its reverse (272363), we obtain a palindrome (90909).

The spelling of 363272 in words is "three hundred sixty-three thousand, two hundred seventy-two".