72020168 has 48 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 32019680.

The previous prime is 72020159. The next prime is 72020173. The reversal of 72020168 is 86102027.

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 11 ways as a sum of consecutive naturals, for example, 44705 + ... + 46287.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^72020168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72020168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

72020168 is an abundant number, since it is smaller than the sum of its proper divisors (79663672).

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

72020168 is a wasteful number, since it uses less digits than its factorization.

72020168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 72020168 is about 8486.4697018254. The cubic root of 72020168 is about 416.0556046235.

The spelling of 72020168 in words is "seventy-two million, twenty thousand, one hundred sixty-eight".