72862181552160 has 4608 divisors, whose sum is σ = 366148823040000. Its totient is φ = 12691626393600.

The previous prime is 72862181552113. The next prime is 72862181552191. The reversal of 72862181552160 is 6125518126827.

72862181552160 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 2 + 1 + 81 + 552 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72862181552097 and 72862181552106.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 158052454330 + ... + 158052454790.

It is an arithmetic number, because the mean of its divisors is an integer number (79459380000).

Almost surely, 2^{72862181552160} is an apocalyptic number.

72862181552160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72862181552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183074411520000).

72862181552160 is an abundant number, since it is smaller than the sum of its proper divisors (293286641487840).

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

72862181552160 is a wasteful number, since it uses less digits than its factorization.

72862181552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

Adding to 72862181552160 its reverse (6125518126827), we get a palindrome (78987699678987).

The spelling of 72862181552160 in words is "seventy-two trillion, eight hundred sixty-two billion, one hundred eighty-one million, five hundred fifty-two thousand, one hundred sixty".