729578753 has 8 divisors (see below), whose sum is σ = 732501000. Its totient is φ = 726663168.

The previous prime is 729578711. The next prime is 729578771. The reversal of 729578753 is 357875927.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 729378049 = 448^2 + 27007^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 729578753 - 2²⁰ = 728530177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 729578695 and 729578704.

It is not an unprimeable number, because it can be changed into a prime (729578453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344225 + ... + 346337.

It is an arithmetic number, because the mean of its divisors is an integer number (91562625).

Almost surely, 2^729578753 is an apocalyptic number.

It is an amenable number.

729578753 is a deficient number, since it is larger than the sum of its proper divisors (2922247).

729578753 is a wasteful number, since it uses less digits than its factorization.

729578753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331.

The product of its digits is 3704400, while the sum is 53.

The square root of 729578753 is about 27010.7155218073. The cubic root of 729578753 is about 900.2381069589.

The spelling of 729578753 in words is "seven hundred twenty-nine million, five hundred seventy-eight thousand, seven hundred fifty-three".