72765433541808 has 960 divisors, whose sum is σ = 260431599168000. Its totient is φ = 19360167450624.

The previous prime is 72765433541807. The next prime is 72765433541869. The reversal of 72765433541808 is 80814533456727.

It is a happy number.

72765433541808 is a `hidden beast` number, since 7 + 2 + 7 + 6 + 5 + 4 + 3 + 3 + 541 + 80 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72765433541807) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1919558791 + ... + 1919596697.

It is an arithmetic number, because the mean of its divisors is an integer number (271282915800).

Almost surely, 2^{72765433541808} 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 72765433541808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130215799584000).

72765433541808 is an abundant number, since it is smaller than the sum of its proper divisors (187666165626192).

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

72765433541808 is a wasteful number, since it uses less digits than its factorization.

72765433541808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38079 (or 38060 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 72765433541808 in words is "seventy-two trillion, seven hundred sixty-five billion, four hundred thirty-three million, five hundred forty-one thousand, eight hundred eight".