72890648064000 has 2080 divisors, whose sum is σ = 294245220132864. Its totient is φ = 17844771225600.

The previous prime is 72890648063993. The next prime is 72890648064077. The reversal of 72890648064000 is 46084609827.

72890648064000 is a `hidden beast` number, since 72 + 8 + 90 + 6 + 4 + 80 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 190315007809 + ... + 190315008191.

Almost surely, 2^{72890648064000} 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 72890648064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147122610066432).

72890648064000 is an abundant number, since it is smaller than the sum of its proper divisors (221354572068864).

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

72890648064000 is a wasteful number, since it uses less digits than its factorization.

72890648064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 72890648064000 in words is "seventy-two trillion, eight hundred ninety billion, six hundred forty-eight million, sixty-four thousand".