4072729689 has 48 divisors (see below), whose sum is σ = 6783038080. Its totient is φ = 2306672640.

The previous prime is 4072729679. The next prime is 4072729699. The reversal of 4072729689 is 9869272704.

4072729689 is a `hidden beast` number, since 407 + 2 + 72 + 96 + 89 = 666.

4072729689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4072729679) and next prime (4072729699).

It is not a de Polignac number, because 4072729689 - 2⁴ = 4072729673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4072729679) 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, 6579222 + ... + 6579840.

Almost surely, 2^4072729689 is an apocalyptic number.

It is an amenable number.

4072729689 is a deficient number, since it is larger than the sum of its proper divisors (2710308391).

4072729689 is a wasteful number, since it uses less digits than its factorization.

4072729689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 4072729689 is about 63817.9417483830. The cubic root of 4072729689 is about 1596.9642553905.

The spelling of 4072729689 in words is "four billion, seventy-two million, seven hundred twenty-nine thousand, six hundred eighty-nine".