73183968 has 144 divisors (see below), whose sum is σ = 244638576. Its totient is φ = 20459520.

The previous prime is 73183949. The next prime is 73183969. The reversal of 73183968 is 86938137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73183969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40296 + ... + 42072.

It is an arithmetic number, because the mean of its divisors is an integer number (1698879).

Almost surely, 2^73183968 is an apocalyptic number.

73183968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122319288).

73183968 is an abundant number, since it is smaller than the sum of its proper divisors (171454608).

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

73183968 is a wasteful number, since it uses less digits than its factorization.

73183968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1806 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 73183968 is about 8554.7628839144. The cubic root of 73183968 is about 418.2847048900.

It can be divided in two parts, 73 and 183968, that added together give a square (184041 = 429²).

The spelling of 73183968 in words is "seventy-three million, one hundred eighty-three thousand, nine hundred sixty-eight".