313707072 has 112 divisors (see below), whose sum is σ = 971897472. Its totient is φ = 87429120.

The previous prime is 313707019. The next prime is 313707089. The reversal of 313707072 is 270707313.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 52258 + ... + 57950.

It is an arithmetic number, because the mean of its divisors is an integer number (8677656).

Almost surely, 2^313707072 is an apocalyptic number.

313707072 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 313707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485948736).

313707072 is an abundant number, since it is smaller than the sum of its proper divisors (658190400).

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

313707072 is a wasteful number, since it uses less digits than its factorization.

313707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 30.

The square root of 313707072 is about 17711.7777763837. Note that the first 5 decimals coincide. The cubic root of 313707072 is about 679.4770142548.

The spelling of 313707072 in words is "three hundred thirteen million, seven hundred seven thousand, seventy-two".