72084323612800 has 384 divisors, whose sum is σ = 182498604163200. Its totient is φ = 28123570176000.

The previous prime is 72084323612797. The next prime is 72084323612803. The reversal of 72084323612800 is 821632348027.

It is an interprime number because it is at equal distance from previous prime (72084323612797) and next prime (72084323612803).

It is a super-2 number, since 2×72084323612800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72084323612803) 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, 46237538421 + ... + 46237539979.

It is an arithmetic number, because the mean of its divisors is an integer number (475256781675).

Almost surely, 2^{72084323612800} 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 72084323612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91249302081600).

72084323612800 is an abundant number, since it is smaller than the sum of its proper divisors (110414280550400).

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

72084323612800 is a wasteful number, since it uses less digits than its factorization.

72084323612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 72084323612800 in words is "seventy-two trillion, eighty-four billion, three hundred twenty-three million, six hundred twelve thousand, eight hundred".