312229072 has 40 divisors (see below), whose sum is σ = 642762432. Its totient is φ = 146419200.

The previous prime is 312229069. The next prime is 312229079. The reversal of 312229072 is 270922213.

It is a self number, because there is not a number n which added to its sum of digits gives 312229072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312229079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82747 + ... + 86437.

Almost surely, 2^312229072 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 312229072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321381216).

312229072 is an abundant number, since it is smaller than the sum of its proper divisors (330533360).

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

312229072 is a wasteful number, since it uses less digits than its factorization.

312229072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 312229072 is about 17670.0048670056. The cubic root of 312229072 is about 678.4082376514.

The spelling of 312229072 in words is "three hundred twelve million, two hundred twenty-nine thousand, seventy-two".