72012554064000 has 1024 divisors, whose sum is σ = 306381028262400. Its totient is φ = 16430653440000.

The previous prime is 72012554063959. The next prime is 72012554064013. The reversal of 72012554064000 is 46045521027.

It is a happy number.

72012554064000 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 2 + 5 + 5 + 4 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80338290 + ... + 81229710.

Almost surely, 2^{72012554064000} 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 72012554064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153190514131200).

72012554064000 is an abundant number, since it is smaller than the sum of its proper divisors (234368474198400).

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

72012554064000 is a wasteful number, since it uses less digits than its factorization.

72012554064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891487 (or 891459 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 72012554064000 its reverse (46045521027), we get a palindrome (72058599585027).

The spelling of 72012554064000 in words is "seventy-two trillion, twelve billion, five hundred fifty-four million, sixty-four thousand".