72540106320000 has 320 divisors, whose sum is σ = 262667734544160. Its totient is φ = 17585479680000.

The previous prime is 72540106319983. The next prime is 72540106320007. The reversal of 72540106320000 is 2360104527.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 72540106320000.

It is not an unprimeable number, because it can be changed into a prime (72540106320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11098657 + ... + 16378656.

Almost surely, 2^{72540106320000} is an apocalyptic number.

It is an amenable number.

72540106320000 is an abundant number, since it is smaller than the sum of its proper divisors (190127628224160).

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

72540106320000 is a wasteful number, since it uses less digits than its factorization.

72540106320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27477361 (or 27477334 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 72540106320000 its reverse (2360104527), we get a palindrome (72542466424527).

The spelling of 72540106320000 in words is "seventy-two trillion, five hundred forty billion, one hundred six million, three hundred twenty thousand".