729134352 has 160 divisors (see below), whose sum is σ = 2240213760. Its totient is φ = 226252800.

The previous prime is 729134347. The next prime is 729134363. The reversal of 729134352 is 253431927.

729134352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741253 + ... + 742235.

It is an arithmetic number, because the mean of its divisors is an integer number (14001336).

Almost surely, 2^729134352 is an apocalyptic number.

729134352 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 729134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120106880).

729134352 is an abundant number, since it is smaller than the sum of its proper divisors (1511079408).

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

729134352 is a wasteful number, since it uses less digits than its factorization.

729134352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1106 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 729134352 is about 27002.4878853783. The cubic root of 729134352 is about 900.0552854927.

The spelling of 729134352 in words is "seven hundred twenty-nine million, one hundred thirty-four thousand, three hundred fifty-two".