73882144 has 48 divisors (see below), whose sum is σ = 167082048. Its totient is φ = 31502592.

The previous prime is 73882139. The next prime is 73882157. The reversal of 73882144 is 44128837.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 50122 + ... + 51574.

It is an arithmetic number, because the mean of its divisors is an integer number (3480876).

Almost surely, 2^73882144 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 73882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83541024).

73882144 is an abundant number, since it is smaller than the sum of its proper divisors (93199904).

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

73882144 is a wasteful number, since it uses less digits than its factorization.

73882144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1689 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 73882144 is about 8595.4722965059. The cubic root of 73882144 is about 419.6106444555.

The spelling of 73882144 in words is "seventy-three million, eight hundred eighty-two thousand, one hundred forty-four".