72025762608000 has 768 divisors, whose sum is σ = 270195505781760. Its totient is φ = 18352269619200.

The previous prime is 72025762607971. The next prime is 72025762608017. The reversal of 72025762608000 is 80626752027.

72025762608000 is a `hidden beast` number, since 72 + 0 + 2 + 576 + 2 + 6 + 0 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3255684939 + ... + 3255707061.

It is an arithmetic number, because the mean of its divisors is an integer number (351817064820).

Almost surely, 2^{72025762608000} 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 72025762608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135097752890880).

72025762608000 is an abundant number, since it is smaller than the sum of its proper divisors (198169743173760).

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

72025762608000 is a wasteful number, since it uses less digits than its factorization.

72025762608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23164 (or 23139 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72025762608000 in words is "seventy-two trillion, twenty-five billion, seven hundred sixty-two million, six hundred eight thousand".