6419072 has 64 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 2826240.

The previous prime is 6419071. The next prime is 6419087. The reversal of 6419072 is 2709146.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6419071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66128 + ... + 66224.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^6419072 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 6419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

6419072 is an abundant number, since it is smaller than the sum of its proper divisors (7975168).

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

6419072 is a wasteful number, since it uses less digits than its factorization.

6419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 6419072 is about 2533.5887590531. The cubic root of 6419072 is about 185.8477962472.

The spelling of 6419072 in words is "six million, four hundred nineteen thousand, seventy-two".