72021113717760 has 528 divisors, whose sum is σ = 251324751702960. Its totient is φ = 19069528965120.

The previous prime is 72021113717723. The next prime is 72021113717771. The reversal of 72021113717760 is 6771731112027.

72021113717760 is a `hidden beast` number, since 7 + 2 + 0 + 211 + 1 + 371 + 7 + 7 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25231573794816 + 46789539922944 = 5023104^2 + 6840288^2 .

It is a super-2 number, since 2×72021113717760² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4811343556 + ... + 4811358524.

Almost surely, 2^{72021113717760} 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 72021113717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125662375851480).

72021113717760 is an abundant number, since it is smaller than the sum of its proper divisors (179303637985200).

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

72021113717760 is a wasteful number, since it uses less digits than its factorization.

72021113717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15734 (or 15713 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

Adding to 72021113717760 its reverse (6771731112027), we get a palindrome (78792844829787).

The spelling of 72021113717760 in words is "seventy-two trillion, twenty-one billion, one hundred thirteen million, seven hundred seventeen thousand, seven hundred sixty".