73614144 has 56 divisors (see below), whose sum is σ = 195425568. Its totient is φ = 24455680.

The previous prime is 73614143. The next prime is 73614197. The reversal of 73614144 is 44141637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73614143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89254 + ... + 90074.

Almost surely, 2^73614144 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 73614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97712784).

73614144 is an abundant number, since it is smaller than the sum of its proper divisors (121811424).

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

73614144 is a wasteful number, since it uses less digits than its factorization.

73614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1293 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 73614144 is about 8579.8685304613. The cubic root of 73614144 is about 419.1026646960.

The spelling of 73614144 in words is "seventy-three million, six hundred fourteen thousand, one hundred forty-four".