44072900 has 36 divisors (see below), whose sum is σ = 96366228. Its totient is φ = 17495040.

The previous prime is 44072881. The next prime is 44072933. The reversal of 44072900 is 927044.

44072900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 802816 + 43270084 = 896^2 + 6578^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44072900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12092 + ... + 15308.

Almost surely, 2^44072900 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 44072900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48183114).

44072900 is an abundant number, since it is smaller than the sum of its proper divisors (52293328).

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

44072900 is a wasteful number, since it uses less digits than its factorization.

44072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 44072900 is about 6638.7423507770. The cubic root of 44072900 is about 353.2296974645.

Adding to 44072900 its reverse (927044), we get a palindrome (44999944).

The spelling of 44072900 in words is "forty-four million, seventy-two thousand, nine hundred".