727542729 has 39 divisors (see below), whose sum is σ = 1121605527. Its totient is φ = 471919608.

The previous prime is 727542719. The next prime is 727542763. The reversal of 727542729 is 927245727.

The square root of 727542729 is 26973.

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., 651015225 + 76527504 = 25515^2 + 8748^2 .

It is not a de Polignac number, because 727542729 - 2¹⁵ = 727509961 is a prime.

Its product of digits (493920) is a multiple of the sum of its prime divisors (40).

It is not an unprimeable number, because it can be changed into a prime (727542719) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 19663299 + ... + 19663335.

Almost surely, 2^727542729 is an apocalyptic number.

727542729 is the 26973-rd square number.

727542729 is the 13487-th centered octagonal number.

It is an amenable number.

727542729 is a deficient number, since it is larger than the sum of its proper divisors (394062798).

727542729 is an frugal number, since it uses more digits than its factorization.

727542729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 40 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The cubic root of 727542729 is about 899.3998999555.

The spelling of 727542729 in words is "seven hundred twenty-seven million, five hundred forty-two thousand, seven hundred twenty-nine".