116526072 has 64 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 35568000.

The previous prime is 116526029. The next prime is 116526083. The reversal of 116526072 is 270625611.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39447 + ... + 42297.

It is an arithmetic number, because the mean of its divisors is an integer number (4941090).

Almost surely, 2^116526072 is an apocalyptic number.

116526072 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 116526072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158114880).

116526072 is an abundant number, since it is smaller than the sum of its proper divisors (199703688).

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

116526072 is a wasteful number, since it uses less digits than its factorization.

116526072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 116526072 is about 10794.7242669741. The cubic root of 116526072 is about 488.4360408889.

The spelling of 116526072 in words is "one hundred sixteen million, five hundred twenty-six thousand, seventy-two".