312813072 has 180 divisors, whose sum is σ = 1037033452. Its totient is φ = 87436800.

The previous prime is 312813047. The next prime is 312813079. The reversal of 312813072 is 270318213.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 222487056 = 9504^2 + 14916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312813079) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225822 + ... + 227202.

Almost surely, 2^312813072 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 312813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518516726).

312813072 is an abundant number, since it is smaller than the sum of its proper divisors (724220380).

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

312813072 is a wasteful number, since it uses less digits than its factorization.

312813072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 312813072 is about 17686.5223263365. The cubic root of 312813072 is about 678.8309440213.

The spelling of 312813072 in words is "three hundred twelve million, eight hundred thirteen thousand, seventy-two".