44623872 has 120 divisors (see below), whose sum is σ = 133783650. Its totient is φ = 14819328.

The previous prime is 44623829. The next prime is 44623877. The reversal of 44623872 is 27832644.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 746496 = 6624^2 + 864^2 .

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 (44623877) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165754 + ... + 166022.

Almost surely, 2^44623872 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 44623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66891825).

44623872 is an abundant number, since it is smaller than the sum of its proper divisors (89159778).

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

44623872 is an equidigital number, since it uses as much as digits as its factorization.

44623872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 44623872 is about 6680.1101787321. The cubic root of 44623872 is about 354.6955586039.

The spelling of 44623872 in words is "forty-four million, six hundred twenty-three thousand, eight hundred seventy-two".