752085 has 24 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 400464.

The previous prime is 752083. The next prime is 752093. The reversal of 752085 is 580257.

It is a happy number.

It is not a de Polignac number, because 752085 - 2¹ = 752083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 906 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2⁷⁵²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

752085 is a deficient number, since it is larger than the sum of its proper divisors (601995).

752085 is an equidigital number, since it uses as much as digits as its factorization.

752085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 752085 is about 867.2283436327. The cubic root of 752085 is about 90.9401449969.

The spelling of 752085 in words is "seven hundred fifty-two thousand, eighty-five".