44292672 has 84 divisors (see below), whose sum is σ = 128144016. Its totient is φ = 14626560.

The previous prime is 44292643. The next prime is 44292673. The reversal of 44292672 is 27629244.

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 (44292673) 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 11 ways as a sum of consecutive naturals, for example, 75163 + ... + 75749.

It is an arithmetic number, because the mean of its divisors is an integer number (1525524).

Almost surely, 2^44292672 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 44292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64072008).

44292672 is an abundant number, since it is smaller than the sum of its proper divisors (83851344).

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

44292672 is a wasteful number, since it uses less digits than its factorization.

44292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 723 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 44292672 is about 6655.2739988674. The cubic root of 44292672 is about 353.8158575001.

The spelling of 44292672 in words is "forty-four million, two hundred ninety-two thousand, six hundred seventy-two".