6729723 has 80 divisors (see below), whose sum is σ = 13660416. Its totient is φ = 3188160.

The previous prime is 6729721. The next prime is 6729727. The reversal of 6729723 is 3279276.

It is not a de Polignac number, because 6729723 - 2¹ = 6729721 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (31752) is a multiple of the sum of its prime factors (126).

6729723 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6729721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81040 + ... + 81122.

Almost surely, 2^6729723 is an apocalyptic number.

6729723 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

6729723 is an abundant number, since it is smaller than the sum of its proper divisors (6930693).

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

6729723 is a wasteful number, since it uses less digits than its factorization.

6729723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 6729723 is about 2594.1709658386. The cubic root of 6729723 is about 188.7987275332.

The spelling of 6729723 in words is "six million, seven hundred twenty-nine thousand, seven hundred twenty-three".