73813120 has 128 divisors (see below), whose sum is σ = 188924400. Its totient is φ = 27525120.

The previous prime is 73813109. The next prime is 73813183. The reversal of 73813120 is 2131837.

It can be written as a sum of positive squares in 8 ways, for example, as 12222016 + 61591104 = 3496^2 + 7848^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760912 + ... + 761008.

Almost surely, 2^73813120 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 73813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94462200).

73813120 is an abundant number, since it is smaller than the sum of its proper divisors (115111280).

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

73813120 is a wasteful number, since it uses less digits than its factorization.

73813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 73813120 is about 8591.4562211537. The cubic root of 73813120 is about 419.4799307368.

Adding to 73813120 its reverse (2131837), we get a palindrome (75944957).

It can be divided in two parts, 7381 and 3120, that added together give a palindrome (10501).

The spelling of 73813120 in words is "seventy-three million, eight hundred thirteen thousand, one hundred twenty".