73104768 has 160 divisors (see below), whose sum is σ = 237706920. Its totient is φ = 22118400.

The previous prime is 73104767. The next prime is 73104769. The reversal of 73104768 is 86740137.

It is an interprime number because it is at equal distance from previous prime (73104767) and next prime (73104769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73104767) 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 19 ways as a sum of consecutive naturals, for example, 113728 + ... + 114368.

Almost surely, 2^73104768 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 73104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118853460).

73104768 is an abundant number, since it is smaller than the sum of its proper divisors (164602152).

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

73104768 is a wasteful number, since it uses less digits than its factorization.

73104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73104768 is about 8550.1326305502. The cubic root of 73104768 is about 418.1337605999.

The spelling of 73104768 in words is "seventy-three million, one hundred four thousand, seven hundred sixty-eight".