43720000800 has 288 divisors, whose sum is σ = 169711137792. Its totient is φ = 9558574080.

The previous prime is 43720000783. The next prime is 43720000811. The reversal of 43720000800 is 800002734.

It is a super-2 number, since 2×43720000800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329827 + ... + 442973.

It is an arithmetic number, because the mean of its divisors is an integer number (589274784).

Almost surely, 2^43720000800 is an apocalyptic number.

43720000800 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 43720000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84855568896).

43720000800 is an abundant number, since it is smaller than the sum of its proper divisors (125991136992).

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

43720000800 is a wasteful number, since it uses less digits than its factorization.

43720000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113200 (or 113187 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 43720000800 in words is "forty-three billion, seven hundred twenty million, eight hundred", and thus it is an aban number.