72571980000000 has 1728 divisors, whose sum is σ = 277469894362752. Its totient is φ = 16773120000000.

The previous prime is 72571979999843. The next prime is 72571980000001. The reversal of 72571980000000 is 8917527.

72571980000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×72571980000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72571980000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172379999790 + ... + 172380000210.

It is an arithmetic number, because the mean of its divisors is an integer number (160572855534).

Almost surely, 2^{72571980000000} 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 72571980000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138734947181376).

72571980000000 is an abundant number, since it is smaller than the sum of its proper divisors (204897914362752).

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

72571980000000 is an frugal number, since it uses more digits than its factorization.

72571980000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

Adding to 72571980000000 its reverse (8917527), we get a palindrome (72571988917527).

The spelling of 72571980000000 in words is "seventy-two trillion, five hundred seventy-one billion, nine hundred eighty million", and thus it is an aban number.