312672 has 24 divisors (see below), whose sum is σ = 821016. Its totient is φ = 104192.

The previous prime is 312643. The next prime is 312673. The reversal of 312672 is 276213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312673) by changing a digit.

312672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1533 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (34209).

2³¹²⁶⁷² is an apocalyptic number.

312672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312672 is an abundant number, since it is smaller than the sum of its proper divisors (508344).

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

312672 is a wasteful number, since it uses less digits than its factorization.

312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3262 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 312672 is about 559.1708146890. The cubic root of 312672 is about 67.8728882602.

Adding to 312672 its reverse (276213), we get a palindrome (588885).

The spelling of 312672 in words is "three hundred twelve thousand, six hundred seventy-two".