72535896576000 has 3744 divisors, whose sum is σ = 321109848573696. Its totient is φ = 16124313600000.

The previous prime is 72535896575981. The next prime is 72535896576023. The reversal of 72535896576000 is 67569853527.

72535896576000 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 58 + 9 + 6 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-3 number, since 3×72535896576000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 480370175925 + ... + 480370176075.

It is an arithmetic number, because the mean of its divisors is an integer number (85766519384).

Almost surely, 2^{72535896576000} 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 72535896576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160554924286848).

72535896576000 is an abundant number, since it is smaller than the sum of its proper divisors (248573951997696).

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

72535896576000 is an equidigital number, since it uses as much as digits as its factorization.

72535896576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 72535896576000 in words is "seventy-two trillion, five hundred thirty-five billion, eight hundred ninety-six million, five hundred seventy-six thousand".