116278272 has 264 divisors, whose sum is σ = 388307712. Its totient is φ = 33177600.

The previous prime is 116278247. The next prime is 116278277. The reversal of 116278272 is 272872611.

116278272 is a `hidden beast` number, since 1 + 1 + 627 + 8 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

Its product of digits (18816) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (116278277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142638 + ... + 3142674.

Almost surely, 2^116278272 is an apocalyptic number.

116278272 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 116278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194153856).

116278272 is an abundant number, since it is smaller than the sum of its proper divisors (272029440).

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

116278272 is a wasteful number, since it uses less digits than its factorization.

116278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 116278272 is about 10783.2403293259. The cubic root of 116278272 is about 488.0895652143.

The spelling of 116278272 in words is "one hundred sixteen million, two hundred seventy-eight thousand, two hundred seventy-two".