9072729 has 20 divisors (see below), whose sum is σ = 13699620. Its totient is φ = 5983200.

The previous prime is 9072727. The next prime is 9072731. The reversal of 9072729 is 9272709.

It is an interprime number because it is at equal distance from previous prime (9072727) and next prime (9072731).

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 4862025 = 2052^2 + 2205^2 .

It is not a de Polignac number, because 9072729 - 2¹ = 9072727 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 9072693 and 9072702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9072727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7627 + ... + 8735.

It is an arithmetic number, because the mean of its divisors is an integer number (684981).

Almost surely, 2^9072729 is an apocalyptic number.

It is an amenable number.

9072729 is a deficient number, since it is larger than the sum of its proper divisors (4626891).

9072729 is a wasteful number, since it uses less digits than its factorization.

9072729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 9072729 is about 3012.0971099883. The cubic root of 9072729 is about 208.5671850149.

It can be divided in two parts, 9072 and 729, that added together give a square (9801 = 99²).

The spelling of 9072729 in words is "nine million, seventy-two thousand, seven hundred twenty-nine".