729832032 has 144 divisors (see below), whose sum is σ = 2279349072. Its totient is φ = 228925440.

The previous prime is 729831979. The next prime is 729832073. The reversal of 729832032 is 230238927.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129432 + ... + 134952.

It is an arithmetic number, because the mean of its divisors is an integer number (15828813).

Almost surely, 2^729832032 is an apocalyptic number.

729832032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729832032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139674536).

729832032 is an abundant number, since it is smaller than the sum of its proper divisors (1549517040).

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

729832032 is a wasteful number, since it uses less digits than its factorization.

729832032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 729832032 is about 27015.4036060911. The cubic root of 729832032 is about 900.3422698184.

The spelling of 729832032 in words is "seven hundred twenty-nine million, eight hundred thirty-two thousand, thirty-two".