6367872 has 128 divisors (see below), whose sum is σ = 20367360. Its totient is φ = 1723392.

The previous prime is 6367871. The next prime is 6367873. The reversal of 6367872 is 2787636.

It is an interprime number because it is at equal distance from previous prime (6367871) and next prime (6367873).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6367872.

It is not an unprimeable number, because it can be changed into a prime (6367871) 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 15 ways as a sum of consecutive naturals, for example, 61773 + ... + 61875.

It is an arithmetic number, because the mean of its divisors is an integer number (159120).

Almost surely, 2^6367872 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 6367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183680).

6367872 is an abundant number, since it is smaller than the sum of its proper divisors (13999488).

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

6367872 is a wasteful number, since it uses less digits than its factorization.

6367872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 6367872 is about 2523.4642854616. The cubic root of 6367872 is about 185.3523550110.

The spelling of 6367872 in words is "six million, three hundred sixty-seven thousand, eight hundred seventy-two".