116214272 has 40 divisors (see below), whose sum is σ = 236071572. Its totient is φ = 57154560.

The previous prime is 116214253. The next prime is 116214277. The reversal of 116214272 is 272412611.

The cubic root of 116214272 is 488.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8386816 + 107827456 = 2896^2 + 10384^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (116214277) 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 3 ways as a sum of consecutive naturals, for example, 1905122 + ... + 1905182.

Almost surely, 2^116214272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118035786).

116214272 is an abundant number, since it is smaller than the sum of its proper divisors (119857300).

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

116214272 is an frugal number, since it uses more digits than its factorization.

116214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 63 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 116214272 is about 10780.2723527748.

Adding to 116214272 its reverse (272412611), we get a palindrome (388626883).

The spelling of 116214272 in words is "one hundred sixteen million, two hundred fourteen thousand, two hundred seventy-two".