312419072 has 72 divisors (see below), whose sum is σ = 716266656. Its totient is φ = 133226496.

The previous prime is 312419069. The next prime is 312419077. The reversal of 312419072 is 270914213.

It is not an unprimeable number, because it can be changed into a prime (312419077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560618 + ... + 561174.

It is an arithmetic number, because the mean of its divisors is an integer number (9948148).

Almost surely, 2^312419072 is an apocalyptic number.

312419072 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 312419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358133328).

312419072 is an abundant number, since it is smaller than the sum of its proper divisors (403847584).

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

312419072 is an equidigital number, since it uses as much as digits as its factorization.

312419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 312419072 is about 17675.3803919463. The cubic root of 312419072 is about 678.5458197875.

The spelling of 312419072 in words is "three hundred twelve million, four hundred nineteen thousand, seventy-two".