729612 has 36 divisors (see below), whose sum is σ = 1987440. Its totient is φ = 224352.

The previous prime is 729607. The next prime is 729613. The reversal of 729612 is 216927.

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729613) 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 in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 1247.

2⁷²⁹⁶¹² is an apocalyptic number.

It is an amenable number.

729612 is an abundant number, since it is smaller than the sum of its proper divisors (1257828).

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

729612 is a wasteful number, since it uses less digits than its factorization.

729612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1577 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 729612 is about 854.1732845272. The cubic root of 729612 is about 90.0251781408.

The spelling of 729612 in words is "seven hundred twenty-nine thousand, six hundred twelve".