72160243240720 has 80 divisors (see below), whose sum is σ = 173559801126960. Its totient is φ = 27868466511872.

The previous prime is 72160243240597. The next prime is 72160243240733. The reversal of 72160243240720 is 2704234206127.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5965161447424 + 66195081793296 = 2442368^2 + 8136036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×72160243240720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377120112 + ... + 377311408.

It is an arithmetic number, because the mean of its divisors is an integer number (2169497514087).

Almost surely, 2^{72160243240720} is an apocalyptic number.

It is an amenable number.

72160243240720 is an abundant number, since it is smaller than the sum of its proper divisors (101399557886240).

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

72160243240720 is a wasteful number, since it uses less digits than its factorization.

72160243240720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353932 (or 353926 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

Adding to 72160243240720 its reverse (2704234206127), we get a palindrome (74864477446847).

The spelling of 72160243240720 in words is "seventy-two trillion, one hundred sixty billion, two hundred forty-three million, two hundred forty thousand, seven hundred twenty".