729028872 has 288 divisors, whose sum is σ = 2409465240. Its totient is φ = 197683200.

The previous prime is 729028847. The next prime is 729028877. The reversal of 729028872 is 278820927.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 228432996 + 500595876 = 15114^2 + 22374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729028877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4643418 + ... + 4643574.

Almost surely, 2^729028872 is an apocalyptic number.

729028872 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 729028872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204732620).

729028872 is an abundant number, since it is smaller than the sum of its proper divisors (1680436368).

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

729028872 is a wasteful number, since it uses less digits than its factorization.

729028872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 729028872 is about 27000.5346613729. The cubic root of 729028872 is about 900.0118813246.

The spelling of 729028872 in words is "seven hundred twenty-nine million, twenty-eight thousand, eight hundred seventy-two".