729617504072 has 12 divisors (see below), whose sum is σ = 1368037350105. Its totient is φ = 364807544048.

The previous prime is 729617504041. The next prime is 729617504081. The reversal of 729617504072 is 270405716927.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 602278436356 + 127339067716 = 776066^2 + 356846^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=603994.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 729617504072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2264978 + ... + 2566974.

Almost surely, 2^729617504072 is an apocalyptic number.

It is an amenable number.

729617504072 is a deficient number, since it is larger than the sum of its proper divisors (638419846033).

729617504072 is an frugal number, since it uses more digits than its factorization.

729617504072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604000 (or 301999 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

Multiplying 729617504072 by its sum of digits (50), we get a square (36480875203600 = 6039940²).

The spelling of 729617504072 in words is "seven hundred twenty-nine billion, six hundred seventeen million, five hundred four thousand, seventy-two".