72168870 has 64 divisors (see below), whose sum is σ = 180357120. Its totient is φ = 18465408.

The previous prime is 72168869. The next prime is 72168913. The reversal of 72168870 is 7886127.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87279 + ... + 88101.

It is an arithmetic number, because the mean of its divisors is an integer number (2818080).

Almost surely, 2^72168870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72168870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90178560).

72168870 is an abundant number, since it is smaller than the sum of its proper divisors (108188250).

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

72168870 is a wasteful number, since it uses less digits than its factorization.

72168870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 72168870 is about 8495.2263065795. The cubic root of 72168870 is about 416.3417548812.

The spelling of 72168870 in words is "seventy-two million, one hundred sixty-eight thousand, eight hundred seventy".