72385472102400 has 2592 divisors, whose sum is σ = 299377791720000. Its totient is φ = 17095647559680.

The previous prime is 72385472102371. The next prime is 72385472102431. The reversal of 72385472102400 is 420127458327.

72385472102400 is a `hidden beast` number, since 7 + 2 + 38 + 5 + 472 + 102 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 485808537526 + ... + 485808537674.

It is an arithmetic number, because the mean of its divisors is an integer number (115500691250).

Almost surely, 2^{72385472102400} 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 72385472102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688895860000).

72385472102400 is an abundant number, since it is smaller than the sum of its proper divisors (226992319617600).

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

72385472102400 is a wasteful number, since it uses less digits than its factorization.

72385472102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 72385472102400 in words is "seventy-two trillion, three hundred eighty-five billion, four hundred seventy-two million, one hundred two thousand, four hundred".