729024 has 28 divisors (see below), whose sum is σ = 1929384. Its totient is φ = 242944.

The previous prime is 729023. The next prime is 729037. The reversal of 729024 is 420927.

729024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 728985 and 729003.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1707 + ... + 2090.

2⁷²⁹⁰²⁴ is an apocalyptic number.

It is an amenable number.

729024 is an abundant number, since it is smaller than the sum of its proper divisors (1200360).

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

729024 is a wasteful number, since it uses less digits than its factorization.

729024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 729024 is about 853.8290226972. The cubic root of 729024 is about 90.0009876435. Note that the first 3 decimals are identical.

Subtracting from 729024 its sum of digits (24), we obtain a cube (729000 = 90³).

The spelling of 729024 in words is "seven hundred twenty-nine thousand, twenty-four".