73130112 has 192 divisors, whose sum is σ = 238680000. Its totient is φ = 21288960.

The previous prime is 73130111. The next prime is 73130117. The reversal of 73130112 is 21103137.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×73130112² = 10696026562265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (73130111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367389 + ... + 367587.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 2^73130112 is an apocalyptic number.

73130112 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 73130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

73130112 is an abundant number, since it is smaller than the sum of its proper divisors (165549888).

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

73130112 is a wasteful number, since it uses less digits than its factorization.

73130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 73130112 is about 8551.6145843928. The cubic root of 73130112 is about 418.1820746289.

Adding to 73130112 its reverse (21103137), we get a palindrome (94233249).

The spelling of 73130112 in words is "seventy-three million, one hundred thirty thousand, one hundred twelve".