727135101 has 144 divisors (see below), whose sum is σ = 1450036224. Its totient is φ = 342144000.

The previous prime is 727135099. The next prime is 727135139. The reversal of 727135101 is 101531727.

It is a happy number.

It is not a de Polignac number, because 727135101 - 2¹ = 727135099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727135141) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4017231 + ... + 4017411.

It is an arithmetic number, because the mean of its divisors is an integer number (10069696).

Almost surely, 2^727135101 is an apocalyptic number.

It is an amenable number.

727135101 is a deficient number, since it is larger than the sum of its proper divisors (722901123).

727135101 is a wasteful number, since it uses less digits than its factorization.

727135101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 727135101 is about 26965.4427184128. The cubic root of 727135101 is about 899.2318965017.

Adding to 727135101 its reverse (101531727), we get a palindrome (828666828).

The spelling of 727135101 in words is "seven hundred twenty-seven million, one hundred thirty-five thousand, one hundred one".