735048 has 64 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 236160.

The previous prime is 735043. The next prime is 735061. The reversal of 735048 is 840537.

735048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (735043) by changing a digit.

735048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8815 + ... + 8897.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁷³⁵⁰⁴⁸ 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 735048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

735048 is an abundant number, since it is smaller than the sum of its proper divisors (1381752).

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

735048 is a wasteful number, since it uses less digits than its factorization.

735048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 735048 is about 857.3494036856. The cubic root of 735048 is about 90.2482037585.

The spelling of 735048 in words is "seven hundred thirty-five thousand, forty-eight".