752732721 has 12 divisors (see below), whose sum is σ = 1170917748. Its totient is φ = 463220064.

The previous prime is 752732657. The next prime is 752732767. The reversal of 752732721 is 127237257.

It can be written as a sum of positive squares in 2 ways, for example, as 370139121 + 382593600 = 19239^2 + 19560^2 .

It is not a de Polignac number, because 752732721 - 2⁶ = 752732657 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (752732221) 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, 3216690 + ... + 3216923.

It is an arithmetic number, because the mean of its divisors is an integer number (97576479).

Almost surely, 2^752732721 is an apocalyptic number.

It is an amenable number.

752732721 is a deficient number, since it is larger than the sum of its proper divisors (418185027).

752732721 is a wasteful number, since it uses less digits than its factorization.

752732721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433632 (or 6433629 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 752732721 is about 27435.9749416710. The cubic root of 752732721 is about 909.6624441378.

Adding to 752732721 its reverse (127237257), we get a palindrome (879969978).

The spelling of 752732721 in words is "seven hundred fifty-two million, seven hundred thirty-two thousand, seven hundred twenty-one".