312741072 has 120 divisors (see below), whose sum is σ = 1003953600. Its totient is φ = 89026560.

The previous prime is 312741049. The next prime is 312741073. The reversal of 312741072 is 270147213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312741073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452247 + ... + 452937.

It is an arithmetic number, because the mean of its divisors is an integer number (8366280).

Almost surely, 2^312741072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312741072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501976800).

312741072 is an abundant number, since it is smaller than the sum of its proper divisors (691212528).

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

312741072 is a wasteful number, since it uses less digits than its factorization.

312741072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 312741072 is about 17684.4867610004. The cubic root of 312741072 is about 678.7788579857.

Adding to 312741072 its reverse (270147213), we get a palindrome (582888285).

The spelling of 312741072 in words is "three hundred twelve million, seven hundred forty-one thousand, seventy-two".