6072328416 has 192 divisors, whose sum is σ = 19996139520. Its totient is φ = 1567464960.

The previous prime is 6072328403. The next prime is 6072328429. The reversal of 6072328416 is 6148232706.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6072328403) and next prime (6072328429).

It is a super-2 number, since 2×6072328416² = 73746344783522138112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232005 + ... + 1236923.

It is an arithmetic number, because the mean of its divisors is an integer number (104146560).

Almost surely, 2^6072328416 is an apocalyptic number.

6072328416 is a gapful number since it is divisible by the number (66) 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 6072328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998069760).

6072328416 is an abundant number, since it is smaller than the sum of its proper divisors (13923811104).

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

6072328416 is a wasteful number, since it uses less digits than its factorization.

6072328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6072328416 is about 77925.1462366289. The cubic root of 6072328416 is about 1824.3930843336.

The spelling of 6072328416 in words is "six billion, seventy-two million, three hundred twenty-eight thousand, four hundred sixteen".