373312 has 28 divisors (see below), whose sum is σ = 782320. Its totient is φ = 176256.

The previous prime is 373301. The next prime is 373327. The reversal of 373312 is 213373.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 373312.

It is an unprimeable number.

373312 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, 1063 + ... + 1369.

It is an arithmetic number, because the mean of its divisors is an integer number (27940).

373312 is a Friedman number, since it can be written as 72^3+(3+1)^3, using all its digits and the basic arithmetic operations.

2³⁷³³¹² is an apocalyptic number.

373312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391160).

373312 is an abundant number, since it is smaller than the sum of its proper divisors (409008).

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

373312 is a wasteful number, since it uses less digits than its factorization.

373312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 378, while the sum is 19.

The square root of 373312 is about 610.9926349802. The cubic root of 373312 is about 72.0041149912.

Adding to 373312 its reverse (213373), we get a palindrome (586685).

The spelling of 373312 in words is "three hundred seventy-three thousand, three hundred twelve", and thus it is an iban number.