72321118168320 has 1728 divisors, whose sum is σ = 309590485940736. Its totient is φ = 15819026595840.

The previous prime is 72321118168319. The next prime is 72321118168331. The reversal of 72321118168320 is 2386181112327.

72321118168320 is a `hidden beast` number, since 7 + 232 + 1 + 11 + 81 + 6 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×72321118168320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4914113602 + ... + 4914128318.

Almost surely, 2^{72321118168320} is an apocalyptic number.

72321118168320 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 72321118168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154795242970368).

72321118168320 is an abundant number, since it is smaller than the sum of its proper divisors (237269367772416).

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

72321118168320 is a wasteful number, since it uses less digits than its factorization.

72321118168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14858 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 72321118168320 in words is "seventy-two trillion, three hundred twenty-one billion, one hundred eighteen million, one hundred sixty-eight thousand, three hundred twenty".