44400672 has 72 divisors (see below), whose sum is σ = 131773824. Its totient is φ = 14154624.

The previous prime is 44400667. The next prime is 44400673. The reversal of 44400672 is 27600444.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (44400673) 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, 3273 + ... + 9975.

It is an arithmetic number, because the mean of its divisors is an integer number (1830192).

Almost surely, 2^44400672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65886912).

44400672 is an abundant number, since it is smaller than the sum of its proper divisors (87373152).

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

44400672 is a wasteful number, since it uses less digits than its factorization.

44400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 44400672 is about 6663.3829246112. The cubic root of 44400672 is about 354.1031969555.

The spelling of 44400672 in words is "forty-four million, four hundred thousand, six hundred seventy-two".