116872767 has 32 divisors (see below), whose sum is σ = 192011520. Its totient is φ = 69660000.

The previous prime is 116872711. The next prime is 116872801. The reversal of 116872767 is 767278611.

It is not a de Polignac number, because 116872767 - 2¹⁵ = 116839999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116873767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14892 + ... + 21342.

It is an arithmetic number, because the mean of its divisors is an integer number (6000360).

Almost surely, 2^116872767 is an apocalyptic number.

116872767 is a deficient number, since it is larger than the sum of its proper divisors (75138753).

116872767 is a wasteful number, since it uses less digits than its factorization.

116872767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6526 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 116872767 is about 10810.7708790817. The cubic root of 116872767 is about 488.9199688364.

It can be divided in two parts, 11 and 6872767, that added together give a triangular number (6872778 = T₃₇₀₇).

The spelling of 116872767 in words is "one hundred sixteen million, eight hundred seventy-two thousand, seven hundred sixty-seven".