72222054266880 has 576 divisors, whose sum is σ = 286135051849920. Its totient is φ = 16503973871616.

The previous prime is 72222054266861. The next prime is 72222054266893. The reversal of 72222054266880 is 8866245022227.

It is a happy number.

72222054266880 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 205 + 426 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×72222054266880² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3378482752 + ... + 3378504128.

It is an arithmetic number, because the mean of its divisors is an integer number (496762242795).

Almost surely, 2^{72222054266880} is an apocalyptic number.

72222054266880 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 72222054266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143067525924960).

72222054266880 is an abundant number, since it is smaller than the sum of its proper divisors (213912997583040).

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

72222054266880 is a wasteful number, since it uses less digits than its factorization.

72222054266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26654 (or 26631 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 72222054266880 in words is "seventy-two trillion, two hundred twenty-two billion, fifty-four million, two hundred sixty-six thousand, eight hundred eighty".