72000000000000 has 624 divisors, whose sum is σ = 259996032501855. Its totient is φ = 19200000000000.

The previous prime is 71999999999959. The next prime is 72000000000001. The reversal of 72000000000000 is 27.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 7 ways, for example, as 313026822144 + 71686973177856 = 559488^2 + 8466816^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6000000.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 71999999999892 and 71999999999901.

It is not an unprimeable number, because it can be changed into a prime (72000000000001) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 14399999999998 + ... + 14400000000002.

Almost surely, 2^{72000000000000} 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 72000000000000

72000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (187996032501855).

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

72000000000000 is an frugal number, since it uses more digits than its factorization.

72000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

Adding to 72000000000000 its reverse (27), we get a palindrome (72000000000027).

The spelling of 72000000000000 in words is "seventy-two trillion", and thus it is an aban number and an uban number.