729027 has 32 divisors (see below), whose sum is σ = 1218560. Its totient is φ = 427680.

The previous prime is 729023. The next prime is 729037. The reversal of 729027 is 720927.

729027 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 729027 - 2² = 729023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

729027 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (729023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10848 + ... + 10914.

It is an arithmetic number, because the mean of its divisors is an integer number (38080).

2⁷²⁹⁰²⁷ is an apocalyptic number.

729027 is a deficient number, since it is larger than the sum of its proper divisors (489533).

729027 is a wasteful number, since it uses less digits than its factorization.

729027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 729027 is about 853.8307794874. The cubic root of 729027 is about 90.0011110974.

Subtracting from 729027 its sum of digits (27), we obtain a cube (729000 = 90³).

Subtracting from 729027 its reverse (720927), we obtain a square (8100 = 90²).

The spelling of 729027 in words is "seven hundred twenty-nine thousand, twenty-seven".