312717672 has 168 divisors, whose sum is σ = 931072050. Its totient is φ = 98304192.

The previous prime is 312717631. The next prime is 312717709. The reversal of 312717672 is 276717213.

It can be written as a sum of positive squares in only one way, i.e., 264192516 + 48525156 = 16254^2 + 6966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 7272483 + ... + 7272525.

Almost surely, 2^312717672 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 312717672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465536025).

312717672 is an abundant number, since it is smaller than the sum of its proper divisors (618354378).

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

312717672 is an equidigital number, since it uses as much as digits as its factorization.

312717672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 77 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 312717672 is about 17683.8251518160. The cubic root of 312717672 is about 678.7619283029.

The spelling of 312717672 in words is "three hundred twelve million, seven hundred seventeen thousand, six hundred seventy-two".