73281786912 has 96 divisors (see below), whose sum is σ = 214974466560. Its totient is φ = 24286014720.

The previous prime is 73281786847. The next prime is 73281786913. The reversal of 73281786912 is 21968718237.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73281786913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95664 + ... + 394607.

It is an arithmetic number, because the mean of its divisors is an integer number (2239317360).

Almost surely, 2^73281786912 is an apocalyptic number.

73281786912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73281786912 is an abundant number, since it is smaller than the sum of its proper divisors (141692679648).

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

73281786912 is a wasteful number, since it uses less digits than its factorization.

73281786912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490463 (or 490449 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 73281786912 in words is "seventy-three billion, two hundred eighty-one million, seven hundred eighty-six thousand, nine hundred twelve".