72332118104400 has 2400 divisors, whose sum is σ = 340926217420800. Its totient is φ = 14544448128000.

The previous prime is 72332118104327. The next prime is 72332118104489. The reversal of 72332118104400 is 440181123327.

72332118104400 is a `hidden beast` number, since 7 + 2 + 3 + 32 + 1 + 181 + 0 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3789591657 + ... + 3789610743.

It is an arithmetic number, because the mean of its divisors is an integer number (142052590592).

Almost surely, 2^{72332118104400} is an apocalyptic number.

72332118104400 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 72332118104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170463108710400).

72332118104400 is an abundant number, since it is smaller than the sum of its proper divisors (268594099316400).

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

72332118104400 is a wasteful number, since it uses less digits than its factorization.

72332118104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19180 (or 19146 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 72332118104400 its reverse (440181123327), we get a palindrome (72772299227727).

The spelling of 72332118104400 in words is "seventy-two trillion, three hundred thirty-two billion, one hundred eighteen million, one hundred four thousand, four hundred".