73828112 has 40 divisors (see below), whose sum is σ = 149752320. Its totient is φ = 35216640.

The previous prime is 73828109. The next prime is 73828121. The reversal of 73828112 is 21182837.

It is a super-3 number, since 3×73828112³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35189 + ... + 37227.

It is an arithmetic number, because the mean of its divisors is an integer number (3743808).

Almost surely, 2^73828112 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 73828112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74876160).

73828112 is an abundant number, since it is smaller than the sum of its proper divisors (75924208).

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

73828112 is a wasteful number, since it uses less digits than its factorization.

73828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2145 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 73828112 is about 8592.3286715535. The cubic root of 73828112 is about 419.5083286575.

The spelling of 73828112 in words is "seventy-three million, eight hundred twenty-eight thousand, one hundred twelve".