112722624 has 112 divisors (see below), whose sum is σ = 378764800. Its totient is φ = 32203008.

The previous prime is 112722619. The next prime is 112722647. The reversal of 112722624 is 426227211.

112722624 is a `hidden beast` number, since 1 + 12 + 7 + 22 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×112722624² = 25412779922890752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 7437 + ... + 16755.

Almost surely, 2^112722624 is an apocalyptic number.

112722624 is a gapful number since it is divisible by the number (14) 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 112722624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189382400).

112722624 is an abundant number, since it is smaller than the sum of its proper divisors (266042176).

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

112722624 is an equidigital number, since it uses as much as digits as its factorization.

112722624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347 (or 9331 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 112722624 is about 10617.0911270461. The cubic root of 112722624 is about 483.0629137599.

Adding to 112722624 its reverse (426227211), we get a palindrome (538949835).

The spelling of 112722624 in words is "one hundred twelve million, seven hundred twenty-two thousand, six hundred twenty-four".