73386768 has 160 divisors (see below), whose sum is σ = 238484736. Its totient is φ = 18929664.

The previous prime is 73386763. The next prime is 73386769. The reversal of 73386768 is 86768337.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73386763) 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 31 ways as a sum of consecutive naturals, for example, 231346 + ... + 231662.

Almost surely, 2^73386768 is an apocalyptic number.

73386768 is a gapful number since it is divisible by the number (78) 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 73386768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119242368).

73386768 is an abundant number, since it is smaller than the sum of its proper divisors (165097968).

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

73386768 is a wasteful number, since it uses less digits than its factorization.

73386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 73386768 is about 8566.6077300178. The cubic root of 73386768 is about 418.6707179525.

The spelling of 73386768 in words is "seventy-three million, three hundred eighty-six thousand, seven hundred sixty-eight".