113472 has 42 divisors (see below), whose sum is σ = 326898. Its totient is φ = 37632.

The previous prime is 113467. The next prime is 113489. The reversal of 113472 is 274311.

113472 is nontrivially palindromic in base 11 and base 14.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 576 = 336^2 + 24^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478 + ... + 674.

2¹¹³⁴⁷² is an apocalyptic number.

113472 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 113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163449).

113472 is an abundant number, since it is smaller than the sum of its proper divisors (213426).

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

113472 is a wasteful number, since it uses less digits than its factorization.

113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 113472 is about 336.8560523428. The cubic root of 113472 is about 48.4131012049.

Adding to 113472 its reverse (274311), we get a palindrome (387783).

It can be divided in two parts, 113 and 472, that added together give a palindrome (585).

The spelling of 113472 in words is "one hundred thirteen thousand, four hundred seventy-two".