72006168 has 96 divisors (see below), whose sum is σ = 200143440. Its totient is φ = 21565440.

The previous prime is 72006157. The next prime is 72006191. The reversal of 72006168 is 86160027.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166080 + ... + 166512.

Almost surely, 2^72006168 is an apocalyptic number.

72006168 is a gapful number since it is divisible by the number (78) 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 72006168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100071720).

72006168 is an abundant number, since it is smaller than the sum of its proper divisors (128137272).

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

72006168 is a wasteful number, since it uses less digits than its factorization.

72006168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72006168 is about 8485.6448193405. The cubic root of 72006168 is about 416.0286438610.

The spelling of 72006168 in words is "seventy-two million, six thousand, one hundred sixty-eight".