73813320 has 192 divisors, whose sum is σ = 290459520. Its totient is φ = 15869952.

The previous prime is 73813319. The next prime is 73813321. The reversal of 73813320 is 2331837.

It is an interprime number because it is at equal distance from previous prime (73813319) and next prime (73813321).

It is not an unprimeable number, because it can be changed into a prime (73813321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41979 + ... + 43701.

It is an arithmetic number, because the mean of its divisors is an integer number (1512810).

Almost surely, 2^73813320 is an apocalyptic number.

73813320 is a gapful number since it is divisible by the number (70) 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 73813320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145229760).

73813320 is an abundant number, since it is smaller than the sum of its proper divisors (216646200).

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

73813320 is a wasteful number, since it uses less digits than its factorization.

73813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73813320 is about 8591.4678606161. The cubic root of 73813320 is about 419.4803096031.

It can be divided in two parts, 7381 and 3320, that added together give a palindrome (10701).

The spelling of 73813320 in words is "seventy-three million, eight hundred thirteen thousand, three hundred twenty".