72680186880 has 396 divisors, whose sum is σ = 292959966780. Its totient is φ = 16612098048.

The previous prime is 72680186849. The next prime is 72680186933. The reversal of 72680186880 is 8868108627.

It can be written as a sum of positive squares in 2 ways, for example, as 24096973824 + 48583213056 = 155232^2 + 220416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2241826 + ... + 2274014.

Almost surely, 2^72680186880 is an apocalyptic number.

72680186880 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 72680186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146479983390).

72680186880 is an abundant number, since it is smaller than the sum of its proper divisors (220279779900).

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

72680186880 is a wasteful number, since it uses less digits than its factorization.

72680186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32234 (or 32206 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

It can be divided in two parts, 72680 and 186880, that added together give a triangular number (259560 = T₇₂₀).

The spelling of 72680186880 in words is "seventy-two billion, six hundred eighty million, one hundred eighty-six thousand, eight hundred eighty".