72066574602240 has 832 divisors, whose sum is σ = 251118571887360. Its totient is φ = 17572414095360.

The previous prime is 72066574602233. The next prime is 72066574602251. The reversal of 72066574602240 is 4220647566027.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45640641771 + ... + 45640643349.

Almost surely, 2^{72066574602240} 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 72066574602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125559285943680).

72066574602240 is an abundant number, since it is smaller than the sum of its proper divisors (179051997285120).

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

72066574602240 is a wasteful number, since it uses less digits than its factorization.

72066574602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 72066574602240 in words is "seventy-two trillion, sixty-six billion, five hundred seventy-four million, six hundred two thousand, two hundred forty".