6072000 has 224 divisors, whose sum is σ = 22823424. Its totient is φ = 1408000.

The previous prime is 6071999. The next prime is 6072029. The reversal of 6072000 is 2706.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

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, 263989 + ... + 264011.

Almost surely, 2^6072000 is an apocalyptic number.

6072000 is a gapful number since it is divisible by the number (60) 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 6072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11411712).

6072000 is an abundant number, since it is smaller than the sum of its proper divisors (16751424).

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

6072000 is a wasteful number, since it uses less digits than its factorization.

6072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 6072000 is about 2464.1428530018. The cubic root of 6072000 is about 182.4360193563.

Adding to 6072000 its reverse (2706), we get a palindrome (6074706).

The spelling of 6072000 in words is "six million, seventy-two thousand".