73788768 has 36 divisors (see below), whose sum is σ = 209837628. Its totient is φ = 24596160.

The previous prime is 73788739. The next prime is 73788787. The reversal of 73788768 is 86788737.

It is a tau number, because it is divible by the number of its divisors (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 5 ways as a sum of consecutive naturals, for example, 127818 + ... + 128393.

It is an arithmetic number, because the mean of its divisors is an integer number (5828823).

Almost surely, 2^73788768 is an apocalyptic number.

It is an amenable number.

73788768 is an abundant number, since it is smaller than the sum of its proper divisors (136048860).

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

73788768 is a wasteful number, since it uses less digits than its factorization.

73788768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256227 (or 256216 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 73788768 is about 8590.0388823334. The cubic root of 73788768 is about 419.4337948608.

The spelling of 73788768 in words is "seventy-three million, seven hundred eighty-eight thousand, seven hundred sixty-eight".