72771520000 has 200 divisors, whose sum is σ = 191271742200. Its totient is φ = 27574272000.

The previous prime is 72771519971. The next prime is 72771520007. The reversal of 72771520000 is 2517727.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×72771520000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72771520007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6074016 + ... + 6085984.

It is an arithmetic number, because the mean of its divisors is an integer number (956358711).

Almost surely, 2^72771520000 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 72771520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95635871100).

72771520000 is an abundant number, since it is smaller than the sum of its proper divisors (118500222200).

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

72771520000 is an equidigital number, since it uses as much as digits as its factorization.

72771520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12026 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The spelling of 72771520000 in words is "seventy-two billion, seven hundred seventy-one million, five hundred twenty thousand".