729364 has 6 divisors (see below), whose sum is σ = 1276394. Its totient is φ = 364680.

The previous prime is 729359. The next prime is 729367. The reversal of 729364 is 463927.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 293764 = 660^2 + 542^2 .

It is a super-3 number, since 3×729364³ = 1164003337166941632, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91167 + ... + 91174.

2⁷²⁹³⁶⁴ is an apocalyptic number.

It is an amenable number.

729364 is a deficient number, since it is larger than the sum of its proper divisors (547030).

729364 is a wasteful number, since it uses less digits than its factorization.

729364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182345 (or 182343 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 729364 is about 854.0281025821. The cubic root of 729364 is about 90.0149769314.

It can be divided in two parts, 729 and 364, that multiplied together give a triangular number (265356 = T₇₂₈).

The spelling of 729364 in words is "seven hundred twenty-nine thousand, three hundred sixty-four".