73044144 has 60 divisors (see below), whose sum is σ = 205530000. Its totient is φ = 24216192.

The previous prime is 73044133. The next prime is 73044149. The reversal of 73044144 is 44144037.

It is not an unprimeable number, because it can be changed into a prime (73044149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27382 + ... + 29930.

It is an arithmetic number, because the mean of its divisors is an integer number (3425500).

Almost surely, 2^73044144 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 73044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102765000).

73044144 is an abundant number, since it is smaller than the sum of its proper divisors (132485856).

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

73044144 is a wasteful number, since it uses less digits than its factorization.

73044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 73044144 is about 8546.5866870933. The cubic root of 73044144 is about 418.0181459275.

The spelling of 73044144 in words is "seventy-three million, forty-four thousand, one hundred forty-four".