729529444 has 60 divisors (see below), whose sum is σ = 1530365564. Its totient is φ = 304057152.

The previous prime is 729529403. The next prime is 729529447. The reversal of 729529444 is 444925927.

It can be written as a sum of positive squares in 2 ways, for example, as 530380900 + 199148544 = 23030^2 + 14112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 729529394 and 729529403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729529447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354322 + ... + 356374.

Almost surely, 2^729529444 is an apocalyptic number.

729529444 is a gapful number since it is divisible by the number (74) 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 729529444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765182782).

729529444 is an abundant number, since it is smaller than the sum of its proper divisors (800836120).

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

729529444 is a wasteful number, since it uses less digits than its factorization.

729529444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2099 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 729529444 is about 27009.8027390057. The cubic root of 729529444 is about 900.2178254651.

The spelling of 729529444 in words is "seven hundred twenty-nine million, five hundred twenty-nine thousand, four hundred forty-four".