112528512 has 192 divisors, whose sum is σ = 351336960. Its totient is φ = 34467840.

The previous prime is 112528501. The next prime is 112528513. The reversal of 112528512 is 215825211.

It is a happy number.

112528512 is a `hidden beast` number, since 1 + 125 + 28 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112528513) 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, 821308 + ... + 821444.

It is an arithmetic number, because the mean of its divisors is an integer number (1829880).

Almost surely, 2^112528512 is an apocalyptic number.

112528512 is a gapful number since it is divisible by the number (12) 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 112528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175668480).

112528512 is an abundant number, since it is smaller than the sum of its proper divisors (238808448).

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

112528512 is a wasteful number, since it uses less digits than its factorization.

112528512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 112528512 is about 10607.9457012185. The cubic root of 112528512 is about 482.7854711296.

The spelling of 112528512 in words is "one hundred twelve million, five hundred twenty-eight thousand, five hundred twelve".