6872736 has 48 divisors (see below), whose sum is σ = 19432224. Its totient is φ = 2114304.

The previous prime is 6872693. The next prime is 6872759. The reversal of 6872736 is 6372786.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 6872694 and 6872703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1506 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (404838).

Almost surely, 2^6872736 is an apocalyptic number.

It is an amenable number.

6872736 is an abundant number, since it is smaller than the sum of its proper divisors (12559488).

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

6872736 is a wasteful number, since it uses less digits than its factorization.

6872736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5525 counting only the distinct ones).

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

The square root of 6872736 is about 2621.5903570161. The cubic root of 6872736 is about 190.1267482995.

The spelling of 6872736 in words is "six million, eight hundred seventy-two thousand, seven hundred thirty-six".