4072729 has 8 divisors (see below), whose sum is σ = 4186080. Its totient is φ = 3961056.

The previous prime is 4072721. The next prime is 4072751. The reversal of 4072729 is 9272704.

It is a happy number.

4072729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4072729 - 2³ = 4072721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4072729.

It is not an unprimeable number, because it can be changed into a prime (4072721) by changing a digit.

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, 5622 + ... + 6304.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

It is a Poulet number, since it divides 2^4072728-1.

Almost surely, 2^4072729 is an apocalyptic number.

It is an amenable number.

4072729 is a deficient number, since it is larger than the sum of its proper divisors (113351).

4072729 is an equidigital number, since it uses as much as digits as its factorization.

4072729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 4072729 is about 2018.1003443833. The cubic root of 4072729 is about 159.6964165336.

It can be divided in two parts, 407 and 2729, that added together give a square (3136 = 56²).

The spelling of 4072729 in words is "four million, seventy-two thousand, seven hundred twenty-nine".