72116160 has 112 divisors (see below), whose sum is σ = 234427776. Its totient is φ = 18772992.

The previous prime is 72116131. The next prime is 72116167. The reversal of 72116160 is 6161127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72116160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72116167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40407 + ... + 42153.

Almost surely, 2^72116160 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 72116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213888).

72116160 is an abundant number, since it is smaller than the sum of its proper divisors (162311616).

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

72116160 is a wasteful number, since it uses less digits than its factorization.

72116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 72116160 is about 8492.1234093718. The cubic root of 72116160 is about 416.2403689752.

Adding to 72116160 its reverse (6161127), we get a palindrome (78277287).

The spelling of 72116160 in words is "seventy-two million, one hundred sixteen thousand, one hundred sixty".