6073072000 has 128 divisors (see below), whose sum is σ = 15237331200. Its totient is φ = 2407014400.

The previous prime is 6073071947. The next prime is 6073072001. The reversal of 6073072000 is 2703706.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6073072001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806321 + ... + 1809679.

It is an arithmetic number, because the mean of its divisors is an integer number (119041650).

Almost surely, 2^6073072000 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 6073072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

6073072000 is an abundant number, since it is smaller than the sum of its proper divisors (9164259200).

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

6073072000 is a wasteful number, since it uses less digits than its factorization.

6073072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 6073072000 is about 77929.9172333707. The cubic root of 6073072000 is about 1824.4675496811.

Adding to 6073072000 its reverse (2703706), we get a palindrome (6075775706).

The spelling of 6073072000 in words is "six billion, seventy-three million, seventy-two thousand".