729464832 has 240 divisors, whose sum is σ = 2312039520. Its totient is φ = 226492416.

The previous prime is 729464831. The next prime is 729464873. The reversal of 729464832 is 238464927.

It is a super-2 number, since 2×729464832² = 1064237882249576448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729464831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7520208 + ... + 7520304.

It is an arithmetic number, because the mean of its divisors is an integer number (9633498).

Almost surely, 2^729464832 is an apocalyptic number.

729464832 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 729464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156019760).

729464832 is an abundant number, since it is smaller than the sum of its proper divisors (1582574688).

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

729464832 is an equidigital number, since it uses as much as digits as its factorization.

729464832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 729464832 is about 27008.6066282583. The cubic root of 729464832 is about 900.1912482461.

The spelling of 729464832 in words is "seven hundred twenty-nine million, four hundred sixty-four thousand, eight hundred thirty-two".