312587072 has 84 divisors (see below), whose sum is σ = 726216480. Its totient is φ = 133104384.

The previous prime is 312587053. The next prime is 312587101. The reversal of 312587072 is 270785213.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 824579 + ... + 824957.

Almost surely, 2^312587072 is an apocalyptic number.

312587072 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 312587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363108240).

312587072 is an abundant number, since it is smaller than the sum of its proper divisors (413629408).

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

312587072 is a wasteful number, since it uses less digits than its factorization.

312587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 312587072 is about 17680.1321262031. The cubic root of 312587072 is about 678.6674249014.

The spelling of 312587072 in words is "three hundred twelve million, five hundred eighty-seven thousand, seventy-two".