735525 has 36 divisors (see below), whose sum is σ = 1508832. Its totient is φ = 335520.

The previous prime is 735491. The next prime is 735529. The reversal of 735525 is 525537.

735525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 735525 - 2⁶ = 735461 is a prime.

735525 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735529) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1342 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (41912).

2⁷³⁵⁵²⁵ is an apocalyptic number.

735525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

735525 is an abundant number, since it is smaller than the sum of its proper divisors (773307).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

735525 is a wasteful number, since it uses less digits than its factorization.

735525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 735525 is about 857.6275415354. The cubic root of 735525 is about 90.2677213431.

The spelling of 735525 in words is "seven hundred thirty-five thousand, five hundred twenty-five".