73127712 has 48 divisors (see below), whose sum is σ = 219385152. Its totient is φ = 20893440.

The previous prime is 73127711. The next prime is 73127767. The reversal of 73127712 is 21772137.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 73127712.

It is not an unprimeable number, because it can be changed into a prime (73127711) 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 7 ways as a sum of consecutive naturals, for example, 53739 + ... + 55082.

It is an arithmetic number, because the mean of its divisors is an integer number (4570524).

Almost surely, 2^73127712 is an apocalyptic number.

It is an amenable number.

73127712 is an abundant number, since it is smaller than the sum of its proper divisors (146257440).

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

73127712 is a wasteful number, since it uses less digits than its factorization.

73127712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108841 (or 108833 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 73127712 is about 8551.4742588632. The cubic root of 73127712 is about 418.1774999153.

Adding to 73127712 its reverse (21772137), we get a palindrome (94899849).

The spelling of 73127712 in words is "seventy-three million, one hundred twenty-seven thousand, seven hundred twelve".