72122160 has 160 divisors (see below), whose sum is σ = 258412032. Its totient is φ = 16445440.

The previous prime is 72122153. The next prime is 72122179. The reversal of 72122160 is 6122127.

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, 44077 + ... + 45683.

Almost surely, 2^72122160 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 72122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129206016).

72122160 is an abundant number, since it is smaller than the sum of its proper divisors (186289872).

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

72122160 is a wasteful number, since it uses less digits than its factorization.

72122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72122160 is about 8492.4766705597. The cubic root of 72122160 is about 416.2519122638.

Adding to 72122160 its reverse (6122127), we get a palindrome (78244287).

The spelling of 72122160 in words is "seventy-two million, one hundred twenty-two thousand, one hundred sixty".