43638720 has 112 divisors (see below), whose sum is σ = 140012928. Its totient is φ = 11514880.

The previous prime is 43638713. The next prime is 43638761. The reversal of 43638720 is 2783634.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125587 + ... + 125933.

Almost surely, 2^43638720 is an apocalyptic number.

43638720 is a gapful number since it is divisible by the number (40) 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 43638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70006464).

43638720 is an abundant number, since it is smaller than the sum of its proper divisors (96374208).

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

43638720 is a wasteful number, since it uses less digits than its factorization.

43638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 43638720 is about 6605.9609444804. The cubic root of 43638720 is about 352.0659311762.

The spelling of 43638720 in words is "forty-three million, six hundred thirty-eight thousand, seven hundred twenty".