729319932 has 72 divisors (see below), whose sum is σ = 2038785840. Its totient is φ = 217969920.

The previous prime is 729319879. The next prime is 729319951. The reversal of 729319932 is 239913927.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16294 + ... + 41522.

It is an arithmetic number, because the mean of its divisors is an integer number (28316470).

Almost surely, 2^729319932 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 729319932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019392920).

729319932 is an abundant number, since it is smaller than the sum of its proper divisors (1309465908).

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

729319932 is a wasteful number, since it uses less digits than its factorization.

729319932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25323 (or 25318 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 729319932 is about 27005.9240167782. The cubic root of 729319932 is about 900.1316400038.

It can be divided in two parts, 7293 and 19932, that added together give a square (27225 = 165²).

The spelling of 729319932 in words is "seven hundred twenty-nine million, three hundred nineteen thousand, nine hundred thirty-two".