10729566 has 48 divisors (see below), whose sum is σ = 24757200. Its totient is φ = 3348864.

The previous prime is 10729559. The next prime is 10729571. The reversal of 10729566 is 66592701.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10729566.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46740 + ... + 46968.

It is an arithmetic number, because the mean of its divisors is an integer number (515775).

Almost surely, 2^10729566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10729566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378600).

10729566 is an abundant number, since it is smaller than the sum of its proper divisors (14027634).

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

10729566 is a wasteful number, since it uses less digits than its factorization.

10729566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 10729566 is about 3275.6016241295. The cubic root of 10729566 is about 220.5603210105.

The spelling of 10729566 in words is "ten million, seven hundred twenty-nine thousand, five hundred sixty-six".