73789920 has 384 divisors, whose sum is σ = 290304000. Its totient is φ = 17418240.

The previous prime is 73789913. The next prime is 73789967. The reversal of 73789920 is 2998737.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380305 + ... + 2380335.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^73789920 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 73789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

73789920 is an abundant number, since it is smaller than the sum of its proper divisors (216514080).

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

73789920 is a wasteful number, since it uses less digits than its factorization.

73789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 73789920 is about 8590.1059364830. The cubic root of 73789920 is about 419.4359776013.

The spelling of 73789920 in words is "seventy-three million, seven hundred eighty-nine thousand, nine hundred twenty".