72205828129440 has 1536 divisors, whose sum is σ = 271978710958080. Its totient is φ = 17860762828800.

The previous prime is 72205828129429. The next prime is 72205828129493. The reversal of 72205828129440 is 4492182850227.

72205828129440 is a `hidden beast` number, since 7 + 2 + 2 + 0 + 58 + 28 + 129 + 440 = 666.

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

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, 76733079370 + ... + 76733080310.

It is an arithmetic number, because the mean of its divisors is an integer number (177069473280).

Almost surely, 2^{72205828129440} 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 72205828129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135989355479040).

72205828129440 is an abundant number, since it is smaller than the sum of its proper divisors (199772882828640).

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

72205828129440 is a wasteful number, since it uses less digits than its factorization.

72205828129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 72205828129440 in words is "seventy-two trillion, two hundred five billion, eight hundred twenty-eight million, one hundred twenty-nine thousand, four hundred forty".