729603952 has 160 divisors (see below), whose sum is σ = 1885593600. Its totient is φ = 264902400.

The previous prime is 729603949. The next prime is 729603967. The reversal of 729603952 is 259306927.

It is a junction number, because it is equal to n+sod(n) for n = 729603899 and 729603908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1661749 + ... + 1662187.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2^729603952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729603952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942796800).

729603952 is an abundant number, since it is smaller than the sum of its proper divisors (1155989648).

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

729603952 is a wasteful number, since it uses less digits than its factorization.

729603952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 729603952 is about 27011.1819808020. The cubic root of 729603952 is about 900.2484713136.

The spelling of 729603952 in words is "seven hundred twenty-nine million, six hundred three thousand, nine hundred fifty-two".