72069985691264 has 128 divisors (see below), whose sum is σ = 158157104904000. Its totient is φ = 32440887705600.

The previous prime is 72069985691233. The next prime is 72069985691267. The reversal of 72069985691264 is 46219658996027.

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

It is a junction number, because it is equal to n+sod(n) for n = 72069985691191 and 72069985691200.

It is not an unprimeable number, because it can be changed into a prime (72069985691267) 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, 68922224 + ... + 69960080.

Almost surely, 2^{72069985691264} 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 72069985691264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79078552452000).

72069985691264 is an abundant number, since it is smaller than the sum of its proper divisors (86087119212736).

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

72069985691264 is a wasteful number, since it uses less digits than its factorization.

72069985691264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038362 (or 1038350 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 74.

The spelling of 72069985691264 in words is "seventy-two trillion, sixty-nine billion, nine hundred eighty-five million, six hundred ninety-one thousand, two hundred sixty-four".