128736 has 48 divisors (see below), whose sum is σ = 378000. Its totient is φ = 42624.

The previous prime is 128717. The next prime is 128747. The reversal of 128736 is 637821.

128736 = 20³ + 21³ + ... + 28³.

It is a tau number, because it is divible by the number of its divisors (48).

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

Its product of digits (2016) is a multiple of the sum of its prime factors (168).

It is a plaindrome in base 13.

It is a congruent number.

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, 790 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2¹²⁸⁷³⁶ is an apocalyptic number.

128736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189000).

128736 is an abundant number, since it is smaller than the sum of its proper divisors (249264).

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

128736 is a wasteful number, since it uses less digits than its factorization.

128736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

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

The square root of 128736 is about 358.7979933054. The cubic root of 128736 is about 50.4932513937.

The spelling of 128736 in words is "one hundred twenty-eight thousand, seven hundred thirty-six".