72133621088256 has 1536 divisors, whose sum is σ = 263379230150400. Its totient is φ = 18519152394240.

The previous prime is 72133621088251. The next prime is 72133621088341. The reversal of 72133621088256 is 65288012633127.

72133621088256 is a `hidden beast` number, since 7 + 2 + 1 + 3 + 3 + 621 + 0 + 8 + 8 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×72133621088256² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72133621088251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227550855010 + ... + 227550855326.

Almost surely, 2^{72133621088256} 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 72133621088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131689615075200).

72133621088256 is an abundant number, since it is smaller than the sum of its proper divisors (191245609062144).

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

72133621088256 is a wasteful number, since it uses less digits than its factorization.

72133621088256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 72133621088256 in words is "seventy-two trillion, one hundred thirty-three billion, six hundred twenty-one million, eighty-eight thousand, two hundred fifty-six".