73106712 has 160 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 20502720.

The previous prime is 73106689. The next prime is 73106717. The reversal of 73106712 is 21760137.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73106717) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 321943 + ... + 322169.

It is an arithmetic number, because the mean of its divisors is an integer number (1489752).

Almost surely, 2^73106712 is an apocalyptic number.

73106712 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 73106712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180160).

73106712 is an abundant number, since it is smaller than the sum of its proper divisors (165253608).

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

73106712 is a wasteful number, since it uses less digits than its factorization.

73106712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 73106712 is about 8550.2463122415. The cubic root of 73106712 is about 418.1374669009.

Adding to 73106712 its reverse (21760137), we get a palindrome (94866849).

The spelling of 73106712 in words is "seventy-three million, one hundred six thousand, seven hundred twelve".