72011160 has 256 divisors, whose sum is σ = 270950400. Its totient is φ = 16879104.

The previous prime is 72011141. The next prime is 72011161. The reversal of 72011160 is 6111027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322809 + ... + 323031.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^72011160 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 72011160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

72011160 is an abundant number, since it is smaller than the sum of its proper divisors (198939240).

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

72011160 is a wasteful number, since it uses less digits than its factorization.

72011160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 72011160 is about 8485.9389580647. The cubic root of 72011160 is about 416.0382576994.

Adding to 72011160 its reverse (6111027), we get a palindrome (78122187).

The spelling of 72011160 in words is "seventy-two million, eleven thousand, one hundred sixty".