72011033146752 has 128 divisors (see below), whose sum is σ = 218631413468160. Its totient is φ = 20572087590912.

The previous prime is 72011033146721. The next prime is 72011033146757. The reversal of 72011033146752 is 25764133011027.

72011033146752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011033146757) 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 15 ways as a sum of consecutive naturals, for example, 20618713 + ... + 23856935.

It is an arithmetic number, because the mean of its divisors is an integer number (1708057917720).

Almost surely, 2^{72011033146752} is an apocalyptic number.

It is an amenable number.

72011033146752 is an abundant number, since it is smaller than the sum of its proper divisors (146620380321408).

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

72011033146752 is a wasteful number, since it uses less digits than its factorization.

72011033146752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246520 (or 3246508 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

Adding to 72011033146752 its reverse (25764133011027), we get a palindrome (97775166157779).

The spelling of 72011033146752 in words is "seventy-two trillion, eleven billion, thirty-three million, one hundred forty-six thousand, seven hundred fifty-two".