72205056000 has 1728 divisors, whose sum is σ = 335774013120. Its totient is φ = 14598144000.

The previous prime is 72205055981. The next prime is 72205056013. The reversal of 72205056000 is 65050227.

72205056000 is a `hidden beast` number, since 7 + 2 + 2 + 0 + 50 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×72205056000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1951487982 + ... + 1951488018.

It is an arithmetic number, because the mean of its divisors is an integer number (194313665).

Almost surely, 2^72205056000 is an apocalyptic number.

72205056000 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 72205056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167887006560).

72205056000 is an abundant number, since it is smaller than the sum of its proper divisors (263568957120).

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

72205056000 is a wasteful number, since it uses less digits than its factorization.

72205056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 72205056000 in words is "seventy-two billion, two hundred five million, fifty-six thousand".