44505072 has 80 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 14616000.

The previous prime is 44505067. The next prime is 44505077. The reversal of 44505072 is 27050544.

It is an interprime number because it is at equal distance from previous prime (44505067) and next prime (44505077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44505077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29947 + ... + 31397.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^44505072 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 44505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

44505072 is an abundant number, since it is smaller than the sum of its proper divisors (85129488).

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

44505072 is a wasteful number, since it uses less digits than its factorization.

44505072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 44505072 is about 6671.2121837039. The cubic root of 44505072 is about 354.3805158571.

The spelling of 44505072 in words is "forty-four million, five hundred five thousand, seventy-two".