729537732 has 192 divisors, whose sum is σ = 2422855680. Its totient is φ = 184291200.

The previous prime is 729537727. The next prime is 729537733. The reversal of 729537732 is 237735927.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (729537733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306507 + ... + 308877.

It is an arithmetic number, because the mean of its divisors is an integer number (12619040).

Almost surely, 2^729537732 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 729537732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211427840).

729537732 is an abundant number, since it is smaller than the sum of its proper divisors (1693317948).

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

729537732 is a wasteful number, since it uses less digits than its factorization.

729537732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2431 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The square root of 729537732 is about 27009.9561643480. The cubic root of 729537732 is about 900.2212345014.

The spelling of 729537732 in words is "seven hundred twenty-nine million, five hundred thirty-seven thousand, seven hundred thirty-two".