72208144008000 has 10752 divisors, whose sum is σ = 398259619430400. Its totient is φ = 12697896960000.

The previous prime is 72208144007999. The next prime is 72208144008067. The reversal of 72208144008000 is 80044180227.

72208144008000 is a `hidden beast` number, since 7 + 2 + 208 + 1 + 440 + 0 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×72208144008000² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 2329294967985 + ... + 2329294968015.

It is an arithmetic number, because the mean of its divisors is an integer number (37040515200).

Almost surely, 2^{72208144008000} is an apocalyptic number.

72208144008000 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 72208144008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199129809715200).

72208144008000 is an abundant number, since it is smaller than the sum of its proper divisors (326051475422400).

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

72208144008000 is a wasteful number, since it uses less digits than its factorization.

72208144008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 72208144008000 its reverse (80044180227), we get a palindrome (72288188188227).

The spelling of 72208144008000 in words is "seventy-two trillion, two hundred eight billion, one hundred forty-four million, eight thousand".