73985112 has 96 divisors (see below), whose sum is σ = 214156800. Its totient is φ = 23018688.

The previous prime is 73985111. The next prime is 73985117. The reversal of 73985112 is 21158937.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73985111) 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, 70689 + ... + 71727.

It is an arithmetic number, because the mean of its divisors is an integer number (2230800).

Almost surely, 2^73985112 is an apocalyptic number.

73985112 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 73985112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107078400).

73985112 is an abundant number, since it is smaller than the sum of its proper divisors (140171688).

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

73985112 is a wasteful number, since it uses less digits than its factorization.

73985112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1110 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 73985112 is about 8601.4598760908. The cubic root of 73985112 is about 419.8054881622.

The spelling of 73985112 in words is "seventy-three million, nine hundred eighty-five thousand, one hundred twelve".