6072083136 has 168 divisors, whose sum is σ = 20765505840. Its totient is φ = 1734856704.

The previous prime is 6072083123. The next prime is 6072083141. The reversal of 6072083136 is 6313802706.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6072083136² = 73740387220991188992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6072083136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48816 + ... + 120528.

Almost surely, 2^6072083136 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 6072083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382752920).

6072083136 is an abundant number, since it is smaller than the sum of its proper divisors (14693422704).

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

6072083136 is a wasteful number, since it uses less digits than its factorization.

6072083136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71748 (or 71725 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6072083136 is about 77923.5724027075. The cubic root of 6072083136 is about 1824.3685197223.

The spelling of 6072083136 in words is "six billion, seventy-two million, eighty-three thousand, one hundred thirty-six".