6315072 has 56 divisors (see below), whose sum is σ = 17263872. Its totient is φ = 2035200.

The previous prime is 6315059. The next prime is 6315073. The reversal of 6315072 is 2705136.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5422 + ... + 6482.

Almost surely, 2^6315072 is an apocalyptic number.

6315072 is a gapful number since it is divisible by the number (62) 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 6315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631936).

6315072 is an abundant number, since it is smaller than the sum of its proper divisors (10948800).

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

6315072 is a wasteful number, since it uses less digits than its factorization.

6315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 6315072 is about 2512.9807002840. The cubic root of 6315072 is about 184.8386418697.

The spelling of 6315072 in words is "six million, three hundred fifteen thousand, seventy-two".