72012160 has 128 divisors (see below), whose sum is σ = 192339360. Its totient is φ = 25559040.

The previous prime is 72012139. The next prime is 72012167. The reversal of 72012160 is 6121027.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72012167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373024 + ... + 373216.

Almost surely, 2^72012160 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 72012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96169680).

72012160 is an abundant number, since it is smaller than the sum of its proper divisors (120327200).

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

72012160 is a wasteful number, since it uses less digits than its factorization.

72012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 72012160 is about 8485.9978788590. The cubic root of 72012160 is about 416.0401834951.

Adding to 72012160 its reverse (6121027), we get a palindrome (78133187).

It can be divided in two parts, 720 and 12160, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 72012160 in words is "seventy-two million, twelve thousand, one hundred sixty".