72171160 has 64 divisors (see below), whose sum is σ = 168544800. Its totient is φ = 27795456.

The previous prime is 72171149. The next prime is 72171167. The reversal of 72171160 is 6117127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72171167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124792 + ... + 125368.

Almost surely, 2^72171160 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 72171160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84272400).

72171160 is an abundant number, since it is smaller than the sum of its proper divisors (96373640).

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

72171160 is a wasteful number, since it uses less digits than its factorization.

72171160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 72171160 is about 8495.3610870875. The cubic root of 72171160 is about 416.3461584998.

Adding to 72171160 its reverse (6117127), we get a palindrome (78288287).

The spelling of 72171160 in words is "seventy-two million, one hundred seventy-one thousand, one hundred sixty".