752257 has 6 divisors (see below), whose sum is σ = 826994. Its totient is φ = 683760.

The previous prime is 752251. The next prime is 752263.

752257 is nontrivially palindromic in base 10.

752257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (752251) and next prime (752263).

It can be written as a sum of positive squares in only one way, i.e., 698896 + 53361 = 836^2 + 231^2 .

It is not a de Polignac number, because 752257 - 2¹¹ = 750209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (752251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2988 + ... + 3229.

2⁷⁵²²⁵⁷ is an apocalyptic number.

It is an amenable number.

752257 is a deficient number, since it is larger than the sum of its proper divisors (74737).

752257 is a wasteful number, since it uses less digits than its factorization.

752257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239 (or 6228 counting only the distinct ones).

The product of its digits is 4900, while the sum is 28.

The square root of 752257 is about 867.3275044641. The cubic root of 752257 is about 90.9470770648.

It can be divided in two parts, 75 and 2257, that added together give a palindrome (2332).

The spelling of 752257 in words is "seven hundred fifty-two thousand, two hundred fifty-seven".