363472 has 10 divisors (see below), whose sum is σ = 704258. Its totient is φ = 181728.

The previous prime is 363463. The next prime is 363481. The reversal of 363472 is 274363.

363472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (363463) and next prime (363481).

It can be written as a sum of positive squares in only one way, i.e., 287296 + 76176 = 536^2 + 276^2 .

It is a super-2 number, since 2×363472² = 264223789568, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

363472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11343 + ... + 11374.

2³⁶³⁴⁷² is an apocalyptic number.

It is an amenable number.

363472 is a deficient number, since it is larger than the sum of its proper divisors (340786).

363472 is a wasteful number, since it uses less digits than its factorization.

363472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22719 counting only the distinct ones).

The product of its digits is 3024, while the sum is 25.

The square root of 363472 is about 602.8863906243. The cubic root of 363472 is about 71.3658298575.

The spelling of 363472 in words is "three hundred sixty-three thousand, four hundred seventy-two".