735320 has 32 divisors (see below), whose sum is σ = 1710720. Its totient is φ = 284160.

The previous prime is 735311. The next prime is 735331. The reversal of 735320 is 23537.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 735292 and 735301.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 735320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 944 + ... + 1536.

It is an arithmetic number, because the mean of its divisors is an integer number (53460).

2⁷³⁵³²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855360).

735320 is an abundant number, since it is smaller than the sum of its proper divisors (975400).

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

735320 is a wasteful number, since it uses less digits than its factorization.

735320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 735320 is about 857.5080174552. The cubic root of 735320 is about 90.2593343169.

Adding to 735320 its reverse (23537), we get a palindrome (758857).

The spelling of 735320 in words is "seven hundred thirty-five thousand, three hundred twenty".