72011252810112 has 384 divisors, whose sum is σ = 243022539513600. Its totient is φ = 18682248130560.

The previous prime is 72011252810053. The next prime is 72011252810117. The reversal of 72011252810112 is 21101825211027.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72011252810117) 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 47 ways as a sum of consecutive naturals, for example, 176346589 + ... + 176754467.

It is an arithmetic number, because the mean of its divisors is an integer number (632871196650).

Almost surely, 2^{72011252810112} 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 72011252810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121511269756800).

72011252810112 is an abundant number, since it is smaller than the sum of its proper divisors (171011286703488).

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

72011252810112 is a wasteful number, since it uses less digits than its factorization.

72011252810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408774 (or 408755 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The spelling of 72011252810112 in words is "seventy-two trillion, eleven billion, two hundred fifty-two million, eight hundred ten thousand, one hundred twelve".