44331672 has 192 divisors, whose sum is σ = 147744000. Its totient is φ = 10940160.

The previous prime is 44331671. The next prime is 44331737. The reversal of 44331672 is 27613344.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44331671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297454 + ... + 297602.

It is an arithmetic number, because the mean of its divisors is an integer number (769500).

Almost surely, 2^44331672 is an apocalyptic number.

44331672 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 44331672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872000).

44331672 is an abundant number, since it is smaller than the sum of its proper divisors (103412328).

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

44331672 is a wasteful number, since it uses less digits than its factorization.

44331672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 44331672 is about 6658.2033612680. The cubic root of 44331672 is about 353.9196727952.

It can be divided in two parts, 4433 and 1672, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 44331672 in words is "forty-four million, three hundred thirty-one thousand, six hundred seventy-two".