72038748926352 has 320 divisors, whose sum is σ = 215858984140800. Its totient is φ = 20504049426432.

The previous prime is 72038748926273. The next prime is 72038748926359. The reversal of 72038748926352 is 25362984783027.

It is not an unprimeable number, because it can be changed into a prime (72038748926359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314741649 + ... + 314970447.

It is an arithmetic number, because the mean of its divisors is an integer number (674559325440).

Almost surely, 2^{72038748926352} 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 72038748926352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107929492070400).

72038748926352 is an abundant number, since it is smaller than the sum of its proper divisors (143820235214448).

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

72038748926352 is a wasteful number, since it uses less digits than its factorization.

72038748926352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229350 (or 229344 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 72038748926352 in words is "seventy-two trillion, thirty-eight billion, seven hundred forty-eight million, nine hundred twenty-six thousand, three hundred fifty-two".