73065312 has 72 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 23950080.

The previous prime is 73065301. The next prime is 73065313. The reversal of 73065312 is 21356037.

It is a happy number.

73065312 is a `hidden beast` number, since 7 + 3 + 0 + 653 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73065313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15489 + ... + 19647.

It is an arithmetic number, because the mean of its divisors is an integer number (2933840).

Almost surely, 2^73065312 is an apocalyptic number.

73065312 is a gapful number since it is divisible by the number (72) 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 73065312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

73065312 is an abundant number, since it is smaller than the sum of its proper divisors (138171168).

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

73065312 is a wasteful number, since it uses less digits than its factorization.

73065312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 73065312 is about 8547.8249865097. The cubic root of 73065312 is about 418.0585222122.

The spelling of 73065312 in words is "seventy-three million, sixty-five thousand, three hundred twelve".