6726132 has 144 divisors (see below), whose sum is σ = 21450240. Its totient is φ = 1814400.

The previous prime is 6726131. The next prime is 6726151. The reversal of 6726132 is 2316276.

It is a happy number.

6726132 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (3024) is a multiple of the sum of its prime divisors (84).

6726132 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 6726096 and 6726105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6726131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164032 + ... + 164072.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 2^6726132 is an apocalyptic number.

6726132 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6726132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725120).

6726132 is an abundant number, since it is smaller than the sum of its proper divisors (14724108).

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

6726132 is a wasteful number, since it uses less digits than its factorization.

6726132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 6726132 is about 2593.4787448522. The cubic root of 6726132 is about 188.7651403729.

The spelling of 6726132 in words is "six million, seven hundred twenty-six thousand, one hundred thirty-two".