4086729072 has 80 divisors (see below), whose sum is σ = 11834376480. Its totient is φ = 1350171648.

The previous prime is 4086729071. The next prime is 4086729083. The reversal of 4086729072 is 2709276804.

4086729072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086729071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6958 + ... + 90674.

It is an arithmetic number, because the mean of its divisors is an integer number (147929706).

Almost surely, 2^4086729072 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 4086729072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917188240).

4086729072 is an abundant number, since it is smaller than the sum of its proper divisors (7747647408).

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

4086729072 is a wasteful number, since it uses less digits than its factorization.

4086729072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83847 (or 83835 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4086729072 is about 63927.5298443480. The cubic root of 4086729072 is about 1598.7919360096.

The spelling of 4086729072 in words is "four billion, eighty-six million, seven hundred twenty-nine thousand, seventy-two".