312072 has 16 divisors (see below), whose sum is σ = 780240. Its totient is φ = 104016.

The previous prime is 312071. The next prime is 312073. The reversal of 312072 is 270213.

It is an interprime number because it is at equal distance from previous prime (312071) and next prime (312073).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312072.

It is not an unprimeable number, because it can be changed into a prime (312071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6478 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (48765).

2³¹²⁰⁷² is an apocalyptic number.

It is an amenable number.

312072 is an abundant number, since it is smaller than the sum of its proper divisors (468168).

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

312072 is a wasteful number, since it uses less digits than its factorization.

312072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 312072 is about 558.6340483716. The cubic root of 312072 is about 67.8294457074.

Adding to 312072 its reverse (270213), we get a palindrome (582285).

The spelling of 312072 in words is "three hundred twelve thousand, seventy-two", and thus it is an iban number.