116072505 has 12 divisors (see below), whose sum is σ = 201192420. Its totient is φ = 61905312.

The previous prime is 116072503. The next prime is 116072507. The reversal of 116072505 is 505270611.

116072505 is a `hidden beast` number, since 1 + 1 + 607 + 2 + 50 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (116072503) and next prime (116072507).

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 26656569 = 9456^2 + 5163^2 .

It is not a de Polignac number, because 116072505 - 2¹ = 116072503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116072503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289650 + ... + 1289739.

It is an arithmetic number, because the mean of its divisors is an integer number (16766035).

Almost surely, 2^116072505 is an apocalyptic number.

116072505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116072505 is a deficient number, since it is larger than the sum of its proper divisors (85119915).

116072505 is a wasteful number, since it uses less digits than its factorization.

116072505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579400 (or 2579397 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 116072505 is about 10773.6950485894. The cubic root of 116072505 is about 487.8014860964.

The spelling of 116072505 in words is "one hundred sixteen million, seventy-two thousand, five hundred five".