72014487264000 has 720 divisors, whose sum is σ = 268507652789376. Its totient is φ = 19166644224000.

The previous prime is 72014487263987. The next prime is 72014487264007. The reversal of 72014487264000 is 46278441027.

72014487264000 is a `hidden beast` number, since 7 + 2 + 0 + 144 + 87 + 26 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72014487264007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1350405337 + ... + 1350458663.

Almost surely, 2^{72014487264000} 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 72014487264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134253826394688).

72014487264000 is an abundant number, since it is smaller than the sum of its proper divisors (196493165525376).

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

72014487264000 is an equidigital number, since it uses as much as digits as its factorization.

72014487264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53891 (or 53858 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 72014487264000 in words is "seventy-two trillion, fourteen billion, four hundred eighty-seven million, two hundred sixty-four thousand".