729048 has 32 divisors (see below), whose sum is σ = 1874160. Its totient is φ = 236160.

The previous prime is 729041. The next prime is 729059. The reversal of 729048 is 840927.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729041) by changing a digit.

729048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478 + ... + 1298.

2⁷²⁹⁰⁴⁸ 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 729048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937080).

729048 is an abundant number, since it is smaller than the sum of its proper divisors (1145112).

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

729048 is a wasteful number, since it uses less digits than its factorization.

729048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 729048 is about 853.8430769175. The cubic root of 729048 is about 90.0019752653.

The spelling of 729048 in words is "seven hundred twenty-nine thousand, forty-eight".