3072000 has 112 divisors (see below), whose sum is σ = 10222992. Its totient is φ = 819200.

The previous prime is 3071993. The next prime is 3072001. The reversal of 3072000 is 2703.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072001) 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 7 ways as a sum of consecutive naturals, for example, 614398 + ... + 614402.

Almost surely, 2^3072000 is an apocalyptic number.

3072000 is a gapful number since it is divisible by the number (30) 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 3072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111496).

3072000 is an abundant number, since it is smaller than the sum of its proper divisors (7150992).

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

3072000 is an frugal number, since it uses more digits than its factorization.

3072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 3072000 is about 1752.7121840165. The cubic root of 3072000 is about 145.3696474266.

Adding to 3072000 its reverse (2703), we get a palindrome (3074703).

The spelling of 3072000 in words is "three million, seventy-two thousand".