73719360 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 16404480.

The previous prime is 73719337. The next prime is 73719367. The reversal of 73719360 is 6391737.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73719367) 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, 411751 + ... + 411929.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^73719360 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 73719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

73719360 is an abundant number, since it is smaller than the sum of its proper divisors (225838080).

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

73719360 is a wasteful number, since it uses less digits than its factorization.

73719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 73719360 is about 8585.9979035637. The cubic root of 73719360 is about 419.3022427998.

Adding to 73719360 its sum of digits (36), we get a square (73719396 = 8586²).

The spelling of 73719360 in words is "seventy-three million, seven hundred nineteen thousand, three hundred sixty".