6393072 has 80 divisors (see below), whose sum is σ = 19284480. Its totient is φ = 1787136.

The previous prime is 6393067. The next prime is 6393077. The reversal of 6393072 is 2703936.

6393072 = T₁₁₈ + T₁₁₉ + ... + T₃₄₁.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6393067) and next prime (6393077).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6393077) 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, 17629 + ... + 17987.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^6393072 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 6393072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642240).

6393072 is an abundant number, since it is smaller than the sum of its proper divisors (12891408).

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

6393072 is a wasteful number, since it uses less digits than its factorization.

6393072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 6393072 is about 2528.4524911495. The cubic root of 6393072 is about 185.5965355576.

The spelling of 6393072 in words is "six million, three hundred ninety-three thousand, seventy-two".