72231129964224 has 1792 divisors, whose sum is σ = 286808275353600. Its totient is φ = 17264495001600.

The previous prime is 72231129964183. The next prime is 72231129964373. The reversal of 72231129964224 is 42246992113227.

It is a happy number.

72231129964224 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 1 + 129 + 96 + 422 + 4 = 666.

It is a super-2 number, since 2×72231129964224² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27600736164 + ... + 27600738780.

It is an arithmetic number, because the mean of its divisors is an integer number (160049260800).

Almost surely, 2^{72231129964224} 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 72231129964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143404137676800).

72231129964224 is an abundant number, since it is smaller than the sum of its proper divisors (214577145389376).

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

72231129964224 is a wasteful number, since it uses less digits than its factorization.

72231129964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3003 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 72231129964224 in words is "seventy-two trillion, two hundred thirty-one billion, one hundred twenty-nine million, nine hundred sixty-four thousand, two hundred twenty-four".