72391447814400 has 2592 divisors, whose sum is σ = 318963159051264. Its totient is φ = 15413207040000.

The previous prime is 72391447814347. The next prime is 72391447814401. The reversal of 72391447814400 is 441874419327.

72391447814400 is a `hidden beast` number, since 7 + 2 + 3 + 91 + 44 + 78 + 1 + 440 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (72391447814401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39973189495 + ... + 39973191305.

Almost surely, 2^{72391447814400} 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 72391447814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159481579525632).

72391447814400 is an abundant number, since it is smaller than the sum of its proper divisors (246571711236864).

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

72391447814400 is a wasteful number, since it uses less digits than its factorization.

72391447814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 72391447814400 in words is "seventy-two trillion, three hundred ninety-one billion, four hundred forty-seven million, eight hundred fourteen thousand, four hundred".