112721364 has 54 divisors (see below), whose sum is σ = 331459674. Its totient is φ = 32205600.

The previous prime is 112721359. The next prime is 112721381. The reversal of 112721364 is 463127211.

It can be written as a sum of positive squares in only one way, i.e., 111133764 + 1587600 = 10542^2 + 1260^2 .

It is a super-2 number, since 2×112721364² = 25412211804040992, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30187 + ... + 33714.

Almost surely, 2^112721364 is an apocalyptic number.

112721364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112721364 is an abundant number, since it is smaller than the sum of its proper divisors (218738310).

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

112721364 is a wasteful number, since it uses less digits than its factorization.

112721364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63925 (or 63913 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 112721364 is about 10617.0317885933. The cubic root of 112721364 is about 483.0611138801.

Adding to 112721364 its reverse (463127211), we get a palindrome (575848575).

The spelling of 112721364 in words is "one hundred twelve million, seven hundred twenty-one thousand, three hundred sixty-four".