73827320 has 64 divisors (see below), whose sum is σ = 193752000. Its totient is φ = 25307520.

The previous prime is 73827289. The next prime is 73827323. The reversal of 73827320 is 2372837.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73827323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11030 + ... + 16410.

It is an arithmetic number, because the mean of its divisors is an integer number (3027375).

Almost surely, 2^73827320 is an apocalyptic number.

73827320 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 73827320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96876000).

73827320 is an abundant number, since it is smaller than the sum of its proper divisors (119924680).

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

73827320 is a wasteful number, since it uses less digits than its factorization.

73827320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 73827320 is about 8592.2825838074. The cubic root of 73827320 is about 419.5068285434.

It can be divided in two parts, 73827 and 320, that added together give a palindrome (74147).

The spelling of 73827320 in words is "seventy-three million, eight hundred twenty-seven thousand, three hundred twenty".