72992385086400 has 504 divisors, whose sum is σ = 282925112258880. Its totient is φ = 17739917844480.

The previous prime is 72992385086317. The next prime is 72992385086419. The reversal of 72992385086400 is 468058329927.

72992385086400 is a `hidden beast` number, since 7 + 2 + 9 + 92 + 38 + 508 + 6 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12320974 + ... + 17256626.

It is an arithmetic number, because the mean of its divisors is an integer number (561359349720).

Almost surely, 2^{72992385086400} 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 72992385086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141462556129440).

72992385086400 is an abundant number, since it is smaller than the sum of its proper divisors (209932727172480).

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

72992385086400 is a wasteful number, since it uses less digits than its factorization.

72992385086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935773 (or 4935755 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 72992385086400 in words is "seventy-two trillion, nine hundred ninety-two billion, three hundred eighty-five million, eighty-six thousand, four hundred".