313440072 has 64 divisors (see below), whose sum is σ = 874748160. Its totient is φ = 92769600.

The previous prime is 313440059. The next prime is 313440109. The reversal of 313440072 is 270044313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2454 + ... + 25157.

It is an arithmetic number, because the mean of its divisors is an integer number (13667940).

Almost surely, 2^313440072 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 313440072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437374080).

313440072 is an abundant number, since it is smaller than the sum of its proper divisors (561308088).

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

313440072 is a wasteful number, since it uses less digits than its factorization.

313440072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27674 (or 27670 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 313440072 is about 17704.2388144760. The cubic root of 313440072 is about 679.2841890865.

Adding to 313440072 its reverse (270044313), we get a palindrome (583484385).

The spelling of 313440072 in words is "three hundred thirteen million, four hundred forty thousand, seventy-two".