736128 has 80 divisors (see below), whose sum is σ = 2221560. Its totient is φ = 241920.

The previous prime is 736121. The next prime is 736147. The reversal of 736128 is 821637.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10333 + ... + 10403.

736128 is a Friedman number, since it can be written as 71*36^2*8, using all its digits and the basic arithmetic operations.

2⁷³⁶¹²⁸ 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 736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110780).

736128 is an abundant number, since it is smaller than the sum of its proper divisors (1485432).

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

736128 is an equidigital number, since it uses as much as digits as its factorization.

736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 736128 is about 857.9790207225. The cubic root of 736128 is about 90.2923824437.

The spelling of 736128 in words is "seven hundred thirty-six thousand, one hundred twenty-eight".