112520772 has 144 divisors (see below), whose sum is σ = 362427520. Its totient is φ = 29398464.

The previous prime is 112520713. The next prime is 112520789. The reversal of 112520772 is 277025211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051543 + ... + 1051649.

Almost surely, 2^112520772 is an apocalyptic number.

112520772 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 112520772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181213760).

112520772 is an abundant number, since it is smaller than the sum of its proper divisors (249906748).

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

112520772 is a wasteful number, since it uses less digits than its factorization.

112520772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 112520772 is about 10607.5808740730. The cubic root of 112520772 is about 482.7744018010.

Adding to 112520772 its reverse (277025211), we get a palindrome (389545983).

The spelling of 112520772 in words is "one hundred twelve million, five hundred twenty thousand, seven hundred seventy-two".