72107539680000 has 2160 divisors, whose sum is σ = 273511097532288. Its totient is φ = 16835174400000.

The previous prime is 72107539679983. The next prime is 72107539680013. The reversal of 72107539680000 is 8693570127.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 254796959859 + ... + 254796960141.

Almost surely, 2^{72107539680000} 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 72107539680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136755548766144).

72107539680000 is an abundant number, since it is smaller than the sum of its proper divisors (201403557852288).

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

72107539680000 is a wasteful number, since it uses less digits than its factorization.

72107539680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 72107539680000 in words is "seventy-two trillion, one hundred seven billion, five hundred thirty-nine million, six hundred eighty thousand".