312048072 has 96 divisors (see below), whose sum is σ = 1008352800. Its totient is φ = 89153568.

The previous prime is 312048067. The next prime is 312048083. The reversal of 312048072 is 270840213.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4158 + ... + 25325.

It is an arithmetic number, because the mean of its divisors is an integer number (10503675).

Almost surely, 2^312048072 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 312048072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504176400).

312048072 is an abundant number, since it is smaller than the sum of its proper divisors (696304728).

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

312048072 is a wasteful number, since it uses less digits than its factorization.

312048072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29512 (or 29495 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 312048072 is about 17664.8824507835. The cubic root of 312048072 is about 678.2771206423.

Adding to 312048072 its reverse (270840213), we get a palindrome (582888285).

The spelling of 312048072 in words is "three hundred twelve million, forty-eight thousand, seventy-two".