312372 has 18 divisors (see below), whose sum is σ = 789698. Its totient is φ = 104112.

The previous prime is 312371. The next prime is 312383. The reversal of 312372 is 273213.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 76176 = 486^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312371) 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 5 ways as a sum of consecutive naturals, for example, 4303 + ... + 4374.

2³¹²³⁷² is an apocalyptic number.

It is an amenable number.

312372 is an abundant number, since it is smaller than the sum of its proper divisors (477326).

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

312372 is a wasteful number, since it uses less digits than its factorization.

312372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8682 counting only the distinct ones).

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

The square root of 312372 is about 558.9024959687. The cubic root of 312372 is about 67.8511739374.

Adding to 312372 its reverse (273213), we get a palindrome (585585).

The spelling of 312372 in words is "three hundred twelve thousand, three hundred seventy-two", and thus it is an iban number.