729630 has 72 divisors (see below), whose sum is σ = 2116296. Its totient is φ = 174240.

The previous prime is 729613. The next prime is 729637. The reversal of 729630 is 36927.

729630 = 380² + 381² + ... + 384².

729630 is a `hidden beast` number, since 7 + 29 + 630 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 729594 and 729603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729637) by changing a digit.

729630 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 35 ways as a sum of consecutive naturals, for example, 10857 + ... + 10923.

It is an arithmetic number, because the mean of its divisors is an integer number (29393).

2⁷²⁹⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058148).

729630 is an abundant number, since it is smaller than the sum of its proper divisors (1386666).

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

729630 is a wasteful number, since it uses less digits than its factorization.

729630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 729630 is about 854.1838209660. The cubic root of 729630 is about 90.0259184611.

The spelling of 729630 in words is "seven hundred twenty-nine thousand, six hundred thirty".