372321 has 12 divisors (see below), whose sum is σ = 551460. Its totient is φ = 241920.

The previous prime is 372313. The next prime is 372353. The reversal of 372321 is 123273.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 314721 = 240^2 + 561^2 .

It is not a de Polignac number, because 372321 - 2³ = 372313 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 372294 and 372303.

It is not an unprimeable number, because it can be changed into a prime (372311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (45955).

2³⁷²³²¹ is an apocalyptic number.

It is an amenable number.

372321 is a deficient number, since it is larger than the sum of its proper divisors (179139).

372321 is a wasteful number, since it uses less digits than its factorization.

372321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1053 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 372321 is about 610.1811206519. The cubic root of 372321 is about 71.9403441040.

Adding to 372321 its reverse (123273), we get a palindrome (495594).

The spelling of 372321 in words is "three hundred seventy-two thousand, three hundred twenty-one", and thus it is an iban number.