113686272 has 324 divisors, whose sum is σ = 408943080. Its totient is φ = 30191616.

The previous prime is 113686267. The next prime is 113686277. The reversal of 113686272 is 272686311.

It is an interprime number because it is at equal distance from previous prime (113686267) and next prime (113686277).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113686277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2144998 + ... + 2145050.

It is an arithmetic number, because the mean of its divisors is an integer number (1262170).

Almost surely, 2^113686272 is an apocalyptic number.

113686272 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 113686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204471540).

113686272 is an abundant number, since it is smaller than the sum of its proper divisors (295256808).

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

113686272 is a wasteful number, since it uses less digits than its factorization.

113686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 113686272 is about 10662.3764705623. The cubic root of 113686272 is about 484.4355526491.

The spelling of 113686272 in words is "one hundred thirteen million, six hundred eighty-six thousand, two hundred seventy-two".