72215772827760 has 960 divisors, whose sum is σ = 265156508897280. Its totient is φ = 18243118080000.

The previous prime is 72215772827753. The next prime is 72215772827773. The reversal of 72215772827760 is 6772827751227.

72215772827760 is a `hidden beast` number, since 7 + 2 + 215 + 77 + 28 + 277 + 60 = 666.

It is a super-2 number, since 2×72215772827760² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5417124295 + ... + 5417137625.

It is an arithmetic number, because the mean of its divisors is an integer number (276204696768).

Almost surely, 2^{72215772827760} 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 72215772827760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132578254448640).

72215772827760 is an abundant number, since it is smaller than the sum of its proper divisors (192940736069520).

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

72215772827760 is a wasteful number, since it uses less digits than its factorization.

72215772827760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13580 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 64538880, while the sum is 63.

The spelling of 72215772827760 in words is "seventy-two trillion, two hundred fifteen billion, seven hundred seventy-two million, eight hundred twenty-seven thousand, seven hundred sixty".