113672 has 16 divisors (see below), whose sum is σ = 229740. Its totient is φ = 52416.

The previous prime is 113657. The next prime is 113683. The reversal of 113672 is 276311.

It is a happy number.

113672 is nontrivially palindromic in base 7 and base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 111556 + 2116 = 334^2 + 46^2 .

It is an unprimeable number.

113672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 650.

2¹¹³⁶⁷² is an apocalyptic number.

It is an amenable number.

113672 is an abundant number, since it is smaller than the sum of its proper divisors (116068).

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

113672 is a wasteful number, since it uses less digits than its factorization.

113672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 113672 is about 337.1527843575. The cubic root of 113672 is about 48.4415280036.

Adding to 113672 its reverse (276311), we get a palindrome (389983).

The spelling of 113672 in words is "one hundred thirteen thousand, six hundred seventy-two".