43948672 has 64 divisors (see below), whose sum is σ = 97675200. Its totient is φ = 19574784.

The previous prime is 43948657. The next prime is 43948673. The reversal of 43948672 is 27684934.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43948673) 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 7 ways as a sum of consecutive naturals, for example, 40813 + ... + 41875.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^43948672 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 43948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48837600).

43948672 is an abundant number, since it is smaller than the sum of its proper divisors (53726528).

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

43948672 is a wasteful number, since it uses less digits than its factorization.

43948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1101 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 43948672 is about 6629.3794581394. The cubic root of 43948672 is about 352.8975030579.

The spelling of 43948672 in words is "forty-three million, nine hundred forty-eight thousand, six hundred seventy-two".