72505203088626 has 384 divisors, whose sum is σ = 209363405322240. Its totient is φ = 17564988672000.

The previous prime is 72505203088553. The next prime is 72505203088691. The reversal of 72505203088626 is 62688030250527.

It is a happy number.

72505203088626 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 5 + 2 + 0 + 3 + 0 + 8 + 8 + 626 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3354071770 + ... + 3354093386.

It is an arithmetic number, because the mean of its divisors is an integer number (545217201360).

Almost surely, 2^{72505203088626} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72505203088626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104681702661120).

72505203088626 is an abundant number, since it is smaller than the sum of its proper divisors (136858202233614).

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

72505203088626 is a wasteful number, since it uses less digits than its factorization.

72505203088626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630 (or 23627 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 72505203088626 in words is "seventy-two trillion, five hundred five billion, two hundred three million, eighty-eight thousand, six hundred twenty-six".