729054001 has 27 divisors (see below), whose sum is σ = 828093483. Its totient is φ = 641543760.

The previous prime is 729053999. The next prime is 729054013. The reversal of 729054001 is 100450927.

It is a happy number.

The square root of 729054001 is 27001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 107848225 + 621205776 = 10385^2 + 24924^2 .

It is not a de Polignac number, because 729054001 - 2¹ = 729053999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (729054071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10881370 + ... + 10881436.

It is an arithmetic number, because the mean of its divisors is an integer number (30670129).

Almost surely, 2^729054001 is an apocalyptic number.

729054001 is the 27001-st square number.

729054001 is the 13501-st centered octagonal number.

It is an amenable number.

729054001 is a deficient number, since it is larger than the sum of its proper divisors (99039482).

729054001 is an equidigital number, since it uses as much as digits as its factorization.

729054001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The cubic root of 729054001 is about 900.0222220851.

The spelling of 729054001 in words is "seven hundred twenty-nine million, fifty-four thousand, one".