73112072 has 48 divisors (see below), whose sum is σ = 153982080. Its totient is φ = 32505440.

The previous prime is 73112047. The next prime is 73112089. The reversal of 73112072 is 27021137.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44693 + ... + 46299.

It is an arithmetic number, because the mean of its divisors is an integer number (3207960).

Almost surely, 2^73112072 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 73112072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76991040).

73112072 is an abundant number, since it is smaller than the sum of its proper divisors (80870008).

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

73112072 is a wasteful number, since it uses less digits than its factorization.

73112072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 73112072 is about 8550.5597477592. The cubic root of 73112072 is about 418.1476855798.

The spelling of 73112072 in words is "seventy-three million, one hundred twelve thousand, seventy-two".