729224 has 8 divisors (see below), whose sum is σ = 1367310. Its totient is φ = 364608.

The previous prime is 729217. The next prime is 729257. The reversal of 729224 is 422927.

It can be written as a sum of positive squares in only one way, i.e., 722500 + 6724 = 850^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×729224³ = 1163333181294454272, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 729193 and 729202.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45569 + ... + 45584.

2⁷²⁹²²⁴ is an apocalyptic number.

It is an amenable number.

729224 is a deficient number, since it is larger than the sum of its proper divisors (638086).

729224 is a wasteful number, since it uses less digits than its factorization.

729224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91159 (or 91155 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 729224 is about 853.9461341326. The cubic root of 729224 is about 90.0092171630.

It can be divided in two parts, 72 and 9224, that multiplied together give a triangular number (664128 = T₁₁₅₂).

The spelling of 729224 in words is "seven hundred twenty-nine thousand, two hundred twenty-four".