73319904 has 168 divisors, whose sum is σ = 247892400. Its totient is φ = 20901888.

The previous prime is 73319819. The next prime is 73319921. The reversal of 73319904 is 40991337.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 27 ways as a sum of consecutive naturals, for example, 163072 + ... + 163520.

It is an arithmetic number, because the mean of its divisors is an integer number (1475550).

Almost surely, 2^73319904 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 73319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123946200).

73319904 is an abundant number, since it is smaller than the sum of its proper divisors (174572496).

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

73319904 is an equidigital number, since it uses as much as digits as its factorization.

73319904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 73319904 is about 8562.7042457392. The cubic root of 73319904 is about 418.5435265169.

The spelling of 73319904 in words is "seventy-three million, three hundred nineteen thousand, nine hundred four".