116972016 has 120 divisors (see below), whose sum is σ = 360383184. Its totient is φ = 32578560.

The previous prime is 116971991. The next prime is 116972027. The reversal of 116972016 is 610279611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95826 + ... + 97038.

Almost surely, 2^116972016 is an apocalyptic number.

116972016 is a gapful number since it is divisible by the number (16) 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 116972016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180191592).

116972016 is an abundant number, since it is smaller than the sum of its proper divisors (243411168).

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

116972016 is a wasteful number, since it uses less digits than its factorization.

116972016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 116972016 is about 10815.3601881768. The cubic root of 116972016 is about 489.0583275258.

The spelling of 116972016 in words is "one hundred sixteen million, nine hundred seventy-two thousand, sixteen".