6142752 has 144 divisors (see below), whose sum is σ = 21857472. Its totient is φ = 1589760.

The previous prime is 6142739. The next prime is 6142783. The reversal of 6142752 is 2572416.

6142752 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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, 22038 + ... + 22314.

It is an arithmetic number, because the mean of its divisors is an integer number (151788).

Almost surely, 2^6142752 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 6142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928736).

6142752 is an abundant number, since it is smaller than the sum of its proper divisors (15714720).

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

6142752 is a wasteful number, since it uses less digits than its factorization.

6142752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 6142752 is about 2478.4575848701. The cubic root of 6142752 is about 183.1418768978.

The spelling of 6142752 in words is "six million, one hundred forty-two thousand, seven hundred fifty-two".