112535520 has 96 divisors (see below), whose sum is σ = 358289568. Its totient is φ = 29687808.

The previous prime is 112535519. The next prime is 112535539. The reversal of 112535520 is 25535211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45352 + ... + 47768.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 2^112535520 is an apocalyptic number.

112535520 is a gapful number since it is divisible by the number (10) 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 112535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

112535520 is an abundant number, since it is smaller than the sum of its proper divisors (245754048).

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

112535520 is a wasteful number, since it uses less digits than its factorization.

112535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 112535520 is about 10608.2760145087. The cubic root of 112535520 is about 482.7954931536.

The spelling of 112535520 in words is "one hundred twelve million, five hundred thirty-five thousand, five hundred twenty".