752089 has 4 divisors (see below), whose sum is σ = 809956. Its totient is φ = 694224.

The previous prime is 752083. The next prime is 752093. The reversal of 752089 is 980257.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 980257 = 367 ⋅2671.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 652864 = 315^2 + 808^2 .

It is a cyclic number.

It is not a de Polignac number, because 752089 - 2¹⁷ = 621017 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 752089.

It is not an unprimeable number, because it can be changed into a prime (752083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28914 + ... + 28939.

It is an arithmetic number, because the mean of its divisors is an integer number (202489).

2⁷⁵²⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

752089 is a deficient number, since it is larger than the sum of its proper divisors (57867).

752089 is a wasteful number, since it uses less digits than its factorization.

752089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57866.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 752089 is about 867.2306498274. The cubic root of 752089 is about 90.9403062198.

The spelling of 752089 in words is "seven hundred fifty-two thousand, eighty-nine".