72025203184704 has 1792 divisors, whose sum is σ = 290701600358400. Its totient is φ = 16909577625600.

The previous prime is 72025203184673. The next prime is 72025203184729. The reversal of 72025203184704 is 40748130252027.

72025203184704 is a `hidden beast` number, since 7 + 20 + 2 + 520 + 31 + 8 + 4 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72025203184704.

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, 26805061249 + ... + 26805063935.

It is an arithmetic number, because the mean of its divisors is an integer number (162221875200).

Almost surely, 2^{72025203184704} 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 72025203184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145350800179200).

72025203184704 is an abundant number, since it is smaller than the sum of its proper divisors (218676397173696).

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

72025203184704 is a wasteful number, since it uses less digits than its factorization.

72025203184704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3213 counting only the distinct ones).

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

The spelling of 72025203184704 in words is "seventy-two trillion, twenty-five billion, two hundred three million, one hundred eighty-four thousand, seven hundred four".