312462072 has 72 divisors (see below), whose sum is σ = 916390800. Its totient is φ = 96138432.

The previous prime is 312462067. The next prime is 312462079. The reversal of 312462072 is 270264213.

312462072 is a `hidden beast` number, since 31 + 2 + 4 + 620 + 7 + 2 = 666.

312462072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312462079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 672 + ... + 25007.

It is an arithmetic number, because the mean of its divisors is an integer number (12727650).

Almost surely, 2^312462072 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 312462072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458195400).

312462072 is an abundant number, since it is smaller than the sum of its proper divisors (603928728).

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

312462072 is a wasteful number, since it uses less digits than its factorization.

312462072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25717 (or 25697 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 312462072 is about 17676.5967312715. The cubic root of 312462072 is about 678.5769490563.

The spelling of 312462072 in words is "three hundred twelve million, four hundred sixty-two thousand, seventy-two".