6872536 has 32 divisors (see below), whose sum is σ = 14547600. Its totient is φ = 3015040.

The previous prime is 6872521. The next prime is 6872581. The reversal of 6872536 is 6352786.

It is a junction number, because it is equal to n+sod(n) for n = 6872495 and 6872504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206 + ... + 3898.

Almost surely, 2^6872536 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 6872536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273800).

6872536 is an abundant number, since it is smaller than the sum of its proper divisors (7675064).

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

6872536 is a wasteful number, since it uses less digits than its factorization.

6872536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2735 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 6872536 is about 2621.5522119538. The cubic root of 6872536 is about 190.1249040210.

It can be divided in two parts, 687 and 2536, that added together give a palindrome (3223).

The spelling of 6872536 in words is "six million, eight hundred seventy-two thousand, five hundred thirty-six".