112772352 has 144 divisors (see below), whose sum is σ = 374395392. Its totient is φ = 29276160.

The previous prime is 112772351. The next prime is 112772357. The reversal of 112772352 is 253277211.

It is a super-2 number, since 2×112772352² = 25435206751223808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112772351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58183 + ... + 60089.

It is an arithmetic number, because the mean of its divisors is an integer number (2599968).

Almost surely, 2^112772352 is an apocalyptic number.

112772352 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 112772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187197696).

112772352 is an abundant number, since it is smaller than the sum of its proper divisors (261623040).

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

112772352 is a wasteful number, since it uses less digits than its factorization.

112772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1930 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 112772352 is about 10619.4327532124. The cubic root of 112772352 is about 483.1339383101.

The spelling of 112772352 in words is "one hundred twelve million, seven hundred seventy-two thousand, three hundred fifty-two".