113035272 has 64 divisors (see below), whose sum is σ = 334108800. Its totient is φ = 31180800.

The previous prime is 113035267. The next prime is 113035277. The reversal of 113035272 is 272530311.

It is an interprime number because it is at equal distance from previous prime (113035267) and next prime (113035277).

It is a super-3 number, since 3×113035272³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113035277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6729 + ... + 16472.

It is an arithmetic number, because the mean of its divisors is an integer number (5220450).

Almost surely, 2^113035272 is an apocalyptic number.

113035272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113035272 is an abundant number, since it is smaller than the sum of its proper divisors (221073528).

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

113035272 is a wasteful number, since it uses less digits than its factorization.

113035272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23246 (or 23242 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 113035272 is about 10631.8047386133. The cubic root of 113035272 is about 483.5091100129.

Adding to 113035272 its reverse (272530311), we get a palindrome (385565583).

The spelling of 113035272 in words is "one hundred thirteen million, thirty-five thousand, two hundred seventy-two".