729576 has 24 divisors (see below), whose sum is σ = 1976130. Its totient is φ = 243168.

The previous prime is 729571. The next prime is 729577. The reversal of 729576 is 675927.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 202500 = 726^2 + 450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×729576² = 1064562279552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 729576.

It is not an unprimeable number, because it can be changed into a prime (729571) by changing a digit.

729576 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 5 ways as a sum of consecutive naturals, for example, 4995 + ... + 5138.

2⁷²⁹⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

729576 is an abundant number, since it is smaller than the sum of its proper divisors (1246554).

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

729576 is a wasteful number, since it uses less digits than its factorization.

729576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10145 (or 10138 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 729576 is about 854.1522112598. The cubic root of 729576 is about 90.0236974635.

It can be divided in two parts, 729 and 576, that multiplied together give a square (419904 = 648²).

The spelling of 729576 in words is "seven hundred twenty-nine thousand, five hundred seventy-six".