752201 has 2 divisors, whose sum is σ = 752202. Its totient is φ = 752200.

The previous prime is 752197. The next prime is 752203. The reversal of 752201 is 102257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 525625 + 226576 = 725^2 + 476^2 .

It is a cyclic number.

It is not a de Polignac number, because 752201 - 2² = 752197 is a prime.

Together with 752203, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₆₀₄₀₇ and since 752201 and 60407 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 752201.

It is not a weakly prime, because it can be changed into another prime (752203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376100 + 376101.

It is an arithmetic number, because the mean of its divisors is an integer number (376101).

2⁷⁵²²⁰¹ is an apocalyptic number.

It is an amenable number.

752201 is a deficient number, since it is larger than the sum of its proper divisors (1).

752201 is an equidigital number, since it uses as much as digits as its factorization.

752201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 752201 is about 867.2952207870. The cubic root of 752201 is about 90.9448202285.

Adding to 752201 its reverse (102257), we get a palindrome (854458).

The spelling of 752201 in words is "seven hundred fifty-two thousand, two hundred one".