72335711645604 has 216 divisors, whose sum is σ = 208141555125504. Its totient is φ = 21143709417600.

The previous prime is 72335711645597. The next prime is 72335711645641. The reversal of 72335711645604 is 40654611753327.

72335711645604 is a `hidden beast` number, since 7 + 2 + 3 + 3 + 5 + 7 + 11 + 64 + 560 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40583614 + ... + 42328490.

Almost surely, 2^{72335711645604} 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 72335711645604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104070777562752).

72335711645604 is an abundant number, since it is smaller than the sum of its proper divisors (135805843479900).

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

72335711645604 is a wasteful number, since it uses less digits than its factorization.

72335711645604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745247 (or 1745231 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 72335711645604 in words is "seventy-two trillion, three hundred thirty-five billion, seven hundred eleven million, six hundred forty-five thousand, six hundred four".