72107381286720 has 896 divisors, whose sum is σ = 298308515904000. Its totient is φ = 16235471831040.

The previous prime is 72107381286683. The next prime is 72107381286751. The reversal of 72107381286720 is 2768218370127.

72107381286720 is a `hidden beast` number, since 7 + 210 + 7 + 3 + 81 + 286 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 61305760 + ... + 62470880.

It is an arithmetic number, because the mean of its divisors is an integer number (332933611500).

Almost surely, 2^{72107381286720} 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 72107381286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149154257952000).

72107381286720 is an abundant number, since it is smaller than the sum of its proper divisors (226201134617280).

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

72107381286720 is a wasteful number, since it uses less digits than its factorization.

72107381286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165208 (or 1165192 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 72107381286720 in words is "seventy-two trillion, one hundred seven billion, three hundred eighty-one million, two hundred eighty-six thousand, seven hundred twenty".