72386956800 has 480 divisors, whose sum is σ = 271930095360. Its totient is φ = 18850406400.

The previous prime is 72386956787. The next prime is 72386956801. The reversal of 72386956800 is 865968327.

It is a happy number.

72386956800 is a `hidden beast` number, since 72 + 3 + 8 + 6 + 9 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72386956801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14858365 + ... + 14863235.

It is an arithmetic number, because the mean of its divisors is an integer number (566521032).

Almost surely, 2^72386956800 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 72386956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135965047680).

72386956800 is an abundant number, since it is smaller than the sum of its proper divisors (199543138560).

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

72386956800 is a wasteful number, since it uses less digits than its factorization.

72386956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 72386956800 in words is "seventy-two billion, three hundred eighty-six million, nine hundred fifty-six thousand, eight hundred".