72213082776 has 96 divisors (see below), whose sum is σ = 198906467760. Its totient is φ = 23663425536.

The previous prime is 72213082771. The next prime is 72213082829. The reversal of 72213082776 is 67728031227.

72213082776 is a `hidden beast` number, since 72 + 2 + 1 + 308 + 277 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72213082771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591216 + ... + 1635968.

Almost surely, 2^72213082776 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 72213082776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99453233880).

72213082776 is an abundant number, since it is smaller than the sum of its proper divisors (126693384984).

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

72213082776 is a wasteful number, since it uses less digits than its factorization.

72213082776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45145 (or 45138 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 72213082776 in words is "seventy-two billion, two hundred thirteen million, eighty-two thousand, seven hundred seventy-six".