43728480 has 72 divisors (see below), whose sum is σ = 149228352. Its totient is φ = 11660544.

The previous prime is 43728457. The next prime is 43728493. The reversal of 43728480 is 8482734.

43728480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×43728480² = 3824359926220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13744 + ... + 16623.

It is an arithmetic number, because the mean of its divisors is an integer number (2072616).

Almost surely, 2^43728480 is an apocalyptic number.

43728480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43728480 is an abundant number, since it is smaller than the sum of its proper divisors (105499872).

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

43728480 is a wasteful number, since it uses less digits than its factorization.

43728480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30388 (or 30377 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 43728480 is about 6612.7513184755. The cubic root of 43728480 is about 352.3071527017.

The spelling of 43728480 in words is "forty-three million, seven hundred twenty-eight thousand, four hundred eighty".