116584272 has 200 divisors, whose sum is σ = 393224832. Its totient is φ = 32659200.

The previous prime is 116584271. The next prime is 116584297. The reversal of 116584272 is 272485611.

116584272 is a `hidden beast` number, since 1 + 1 + 6 + 584 + 2 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116584271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644022 + ... + 644202.

Almost surely, 2^116584272 is an apocalyptic number.

116584272 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 116584272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196612416).

116584272 is an abundant number, since it is smaller than the sum of its proper divisors (276640560).

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

116584272 is a wasteful number, since it uses less digits than its factorization.

116584272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 116584272 is about 10797.4196917597. The cubic root of 116584272 is about 488.5173452863.

The spelling of 116584272 in words is "one hundred sixteen million, five hundred eighty-four thousand, two hundred seventy-two".