44335872 has 108 divisors (see below), whose sum is σ = 146146000. Its totient is φ = 12662784.

The previous prime is 44335831. The next prime is 44335877. The reversal of 44335872 is 27853344.

44335872 = 118³ + 119³ + ... + 138³.

It is a happy number.

44335872 is a `hidden beast` number, since 44 + 33 + 587 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (44335877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14754 + ... + 17502.

Almost surely, 2^44335872 is an apocalyptic number.

44335872 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 44335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73073000).

44335872 is an abundant number, since it is smaller than the sum of its proper divisors (101810128).

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

44335872 is a wasteful number, since it uses less digits than its factorization.

44335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2761 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 44335872 is about 6658.5187541975. The cubic root of 44335872 is about 353.9308492718.

It can be divided in two parts, 443 and 35872, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 44335872 in words is "forty-four million, three hundred thirty-five thousand, eight hundred seventy-two".