72022758463656 has 1920 divisors, whose sum is σ = 283365132019200. Its totient is φ = 16892322370560.

The previous prime is 72022758463637. The next prime is 72022758463679. The reversal of 72022758463656 is 65636485722027.

72022758463656 is a `hidden beast` number, since 7 + 2 + 0 + 227 + 5 + 8 + 46 + 365 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 72022758463593 and 72022758463602.

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 479 ways as a sum of consecutive naturals, for example, 36065476450 + ... + 36065478446.

It is an arithmetic number, because the mean of its divisors is an integer number (147586006260).

Almost surely, 2^{72022758463656} 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 72022758463656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141682566009600).

72022758463656 is an abundant number, since it is smaller than the sum of its proper divisors (211342373555544).

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

72022758463656 is a wasteful number, since it uses less digits than its factorization.

72022758463656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 72022758463656 in words is "seventy-two trillion, twenty-two billion, seven hundred fifty-eight million, four hundred sixty-three thousand, six hundred fifty-six".