72196257821760 has 560 divisors, whose sum is σ = 257767405378560. Its totient is φ = 19181035560960.

The previous prime is 72196257821741. The next prime is 72196257821789. The reversal of 72196257821760 is 6712875269127.

72196257821760 is a `hidden beast` number, since 7 + 21 + 96 + 257 + 8 + 217 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10678336780 + ... + 10678343540.

It is an arithmetic number, because the mean of its divisors is an integer number (460298938176).

Almost surely, 2^{72196257821760} 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 72196257821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128883702689280).

72196257821760 is an abundant number, since it is smaller than the sum of its proper divisors (185571147556800).

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

72196257821760 is a wasteful number, since it uses less digits than its factorization.

72196257821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 72196257821760 in words is "seventy-two trillion, one hundred ninety-six billion, two hundred fifty-seven million, eight hundred twenty-one thousand, seven hundred sixty".