116007075072 has 1080 divisors, whose sum is σ = 433074216960. Its totient is φ = 30725775360.

The previous prime is 116007075053. The next prime is 116007075091. The reversal of 116007075072 is 270570700611.

It is an interprime number because it is at equal distance from previous prime (116007075053) and next prime (116007075091).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 913441473 + ... + 913441599.

Almost surely, 2^116007075072 is an apocalyptic number.

116007075072 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 116007075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216537108480).

116007075072 is an abundant number, since it is smaller than the sum of its proper divisors (317067141888).

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

116007075072 is a wasteful number, since it uses less digits than its factorization.

116007075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

Adding to 116007075072 its reverse (270570700611), we get a palindrome (386577775683).

The spelling of 116007075072 in words is "one hundred sixteen billion, seven million, seventy-five thousand, seventy-two".