752321 has 4 divisors (see below), whose sum is σ = 772692. Its totient is φ = 731952.

The previous prime is 752303. The next prime is 752351. The reversal of 752321 is 123257.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 703921 + 48400 = 839^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 752321 - 2¹⁰ = 751297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 752293 and 752302.

It is not an unprimeable number, because it can be changed into a prime (752351) 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 in 3 ways as a sum of consecutive naturals, for example, 10130 + ... + 10203.

It is an arithmetic number, because the mean of its divisors is an integer number (193173).

2⁷⁵²³²¹ is an apocalyptic number.

It is an amenable number.

752321 is a deficient number, since it is larger than the sum of its proper divisors (20371).

752321 is a wasteful number, since it uses less digits than its factorization.

752321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20370.

The product of its digits is 420, while the sum is 20.

The square root of 752321 is about 867.3643986238. The cubic root of 752321 is about 90.9496561691.

Adding to 752321 its reverse (123257), we get a palindrome (875578).

The spelling of 752321 in words is "seven hundred fifty-two thousand, three hundred twenty-one".