72034406144000 has 192 divisors, whose sum is σ = 182700807962400. Its totient is φ = 28341399552000.

The previous prime is 72034406143969. The next prime is 72034406144009. The reversal of 72034406144000 is 44160443027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72034406144009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13309571 + ... + 17922429.

Almost surely, 2^{72034406144000} 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 72034406144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91350403981200).

72034406144000 is an abundant number, since it is smaller than the sum of its proper divisors (110666401818400).

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

72034406144000 is an equidigital number, since it uses as much as digits as its factorization.

72034406144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612957 (or 4612927 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

Adding to 72034406144000 its reverse (44160443027), we get a palindrome (72078566587027).

The spelling of 72034406144000 in words is "seventy-two trillion, thirty-four billion, four hundred six million, one hundred forty-four thousand".