73488384 has 120 divisors (see below), whose sum is σ = 219999780. Its totient is φ = 24440832.

The previous prime is 73488361. The next prime is 73488391. The reversal of 73488384 is 48388437.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (516096) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165667 + ... + 166109.

Almost surely, 2^73488384 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 73488384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109999890).

73488384 is an abundant number, since it is smaller than the sum of its proper divisors (146511396).

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

73488384 is an equidigital number, since it uses as much as digits as its factorization.

73488384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 448 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 73488384 is about 8572.5366140950. The cubic root of 73488384 is about 418.8638682243.

The spelling of 73488384 in words is "seventy-three million, four hundred eighty-eight thousand, three hundred eighty-four".