728672226129 has 15 divisors (see below), whose sum is σ = 1088521839097. Its totient is φ = 485776362348.

The previous prime is 728672226119. The next prime is 728672226167. The reversal of 728672226129 is 921622276827.

The square root of 728672226129 is 853623.

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

It is not a de Polignac number, because 728672226129 - 2³⁷ = 591233272657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728672226119) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7635184 + ... + 7730030.

Almost surely, 2^728672226129 is an apocalyptic number.

728672226129 is the 853623-rd square number.

728672226129 is the 426812-nd centered octagonal number.

It is an amenable number.

728672226129 is a deficient number, since it is larger than the sum of its proper divisors (359849612968).

728672226129 is an frugal number, since it uses more digits than its factorization.

728672226129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189706 (or 94850 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 728672226129 in words is "seven hundred twenty-eight billion, six hundred seventy-two million, two hundred twenty-six thousand, one hundred twenty-nine".