727528113 has 12 divisors (see below), whose sum is σ = 1131710580. Its totient is φ = 447709536.

The previous prime is 727528099. The next prime is 727528121. The reversal of 727528113 is 311825727.

It can be written as a sum of positive squares in 2 ways, for example, as 439615089 + 287913024 = 20967^2 + 16968^2 .

It is not a de Polignac number, because 727528113 - 2⁹ = 727527601 is a prime.

It is a super-5 number, since 5×727528113⁵ (a number of 46 digits) contains 55555 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (727528213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3108978 + ... + 3109211.

It is an arithmetic number, because the mean of its divisors is an integer number (94309215).

Almost surely, 2^727528113 is an apocalyptic number.

It is an amenable number.

727528113 is a deficient number, since it is larger than the sum of its proper divisors (404182467).

727528113 is a wasteful number, since it uses less digits than its factorization.

727528113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218208 (or 6218205 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 727528113 is about 26972.7290610350. The cubic root of 727528113 is about 899.3938770713.

The spelling of 727528113 in words is "seven hundred twenty-seven million, five hundred twenty-eight thousand, one hundred thirteen".