43728760 has 64 divisors (see below), whose sum is σ = 105325920. Its totient is φ = 16281600.

The previous prime is 43728757. The next prime is 43728761. The reversal of 43728760 is 6782734.

It is a super-2 number, since 2×43728760² = 3824408902275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43728761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72460 + ... + 73060.

Almost surely, 2^43728760 is an apocalyptic number.

43728760 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 43728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52662960).

43728760 is an abundant number, since it is smaller than the sum of its proper divisors (61597160).

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

43728760 is a wasteful number, since it uses less digits than its factorization.

43728760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 43728760 is about 6612.7724896597. The cubic root of 43728760 is about 352.3079046585.

The spelling of 43728760 in words is "forty-three million, seven hundred twenty-eight thousand, seven hundred sixty".