72166773660520 has 256 divisors, whose sum is σ = 202737576499200. Its totient is φ = 22460706432000.

The previous prime is 72166773660467. The next prime is 72166773660551. The reversal of 72166773660520 is 2506637766127.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7938261175 + ... + 7938270265.

It is an arithmetic number, because the mean of its divisors is an integer number (791943658200).

Almost surely, 2^{72166773660520} is an apocalyptic number.

72166773660520 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 72166773660520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101368788249600).

72166773660520 is an abundant number, since it is smaller than the sum of its proper divisors (130570802838680).

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

72166773660520 is a wasteful number, since it uses less digits than its factorization.

72166773660520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 58.

The spelling of 72166773660520 in words is "seventy-two trillion, one hundred sixty-six billion, seven hundred seventy-three million, six hundred sixty thousand, five hundred twenty".