6128672 has 48 divisors (see below), whose sum is σ = 13753152. Its totient is φ = 2661120.

The previous prime is 6128663. The next prime is 6128693. The reversal of 6128672 is 2768216.

6128672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×6128672⁴ (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7718 + ... + 8474.

It is an arithmetic number, because the mean of its divisors is an integer number (286524).

Almost surely, 2^6128672 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 6128672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876576).

6128672 is an abundant number, since it is smaller than the sum of its proper divisors (7624480).

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

6128672 is a wasteful number, since it uses less digits than its factorization.

6128672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 6128672 is about 2475.6154790274. The cubic root of 6128672 is about 183.0018413821.

The spelling of 6128672 in words is "six million, one hundred twenty-eight thousand, six hundred seventy-two".