6072320 has 48 divisors (see below), whose sum is σ = 14594580. Its totient is φ = 2424832.

The previous prime is 6072317. The next prime is 6072323. The reversal of 6072320 is 232706.

It is an interprime number because it is at equal distance from previous prime (6072317) and next prime (6072323).

It can be written as a sum of positive squares in 2 ways, for example, as 6071296 + 1024 = 2464^2 + 32^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6072292 and 6072301.

It is not an unprimeable number, because it can be changed into a prime (6072323) 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 3 ways as a sum of consecutive naturals, for example, 9944 + ... + 10536.

Almost surely, 2^6072320 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 6072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297290).

6072320 is an abundant number, since it is smaller than the sum of its proper divisors (8522260).

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

6072320 is an equidigital number, since it uses as much as digits as its factorization.

6072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 6072320 is about 2464.2077834468. The cubic root of 6072320 is about 182.4392241488.

The spelling of 6072320 in words is "six million, seventy-two thousand, three hundred twenty".