72722253170000 has 400 divisors, whose sum is σ = 206645631130752. Its totient is φ = 24265301760000.

The previous prime is 72722253169963. The next prime is 72722253170003. The reversal of 72722253170000 is 7135222727.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×72722253170000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72722253170003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 833726390 + ... + 833813610.

Almost surely, 2^{72722253170000} is an apocalyptic number.

72722253170000 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 72722253170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103322815565376).

72722253170000 is an abundant number, since it is smaller than the sum of its proper divisors (133923377960752).

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

72722253170000 is a wasteful number, since it uses less digits than its factorization.

72722253170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87576 (or 87555 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

Adding to 72722253170000 its reverse (7135222727), we get a palindrome (72729388392727).

The spelling of 72722253170000 in words is "seventy-two trillion, seven hundred twenty-two billion, two hundred fifty-three million, one hundred seventy thousand".