72363899386800 has 1800 divisors, whose sum is σ = 299315209564800. Its totient is φ = 16185655664640.

The previous prime is 72363899386777. The next prime is 72363899386841. The reversal of 72363899386800 is 868399836327.

72363899386800 is a `hidden beast` number, since 7 + 2 + 3 + 6 + 389 + 93 + 86 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 83851563169 + ... + 83851564031.

It is an arithmetic number, because the mean of its divisors is an integer number (166286227536).

Almost surely, 2^{72363899386800} is an apocalyptic number.

72363899386800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72363899386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149657604782400).

72363899386800 is an abundant number, since it is smaller than the sum of its proper divisors (226951310178000).

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

72363899386800 is a wasteful number, since it uses less digits than its factorization.

72363899386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 72363899386800 in words is "seventy-two trillion, three hundred sixty-three billion, eight hundred ninety-nine million, three hundred eighty-six thousand, eight hundred".