44083872 has 192 divisors, whose sum is σ = 151683840. Its totient is φ = 12192768.

The previous prime is 44083867. The next prime is 44083903. The reversal of 44083872 is 27838044.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223678 + ... + 223874.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 2^44083872 is an apocalyptic number.

44083872 is a gapful number since it is divisible by the number (42) 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 44083872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

44083872 is an abundant number, since it is smaller than the sum of its proper divisors (107599968).

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

44083872 is a wasteful number, since it uses less digits than its factorization.

44083872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

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

The square root of 44083872 is about 6639.5686606887. The cubic root of 44083872 is about 353.2590073478.

The spelling of 44083872 in words is "forty-four million, eighty-three thousand, eight hundred seventy-two".