72570506353830 has 192 divisors, whose sum is σ = 203313188123136. Its totient is φ = 17922995712000.

The previous prime is 72570506353721. The next prime is 72570506353853. The reversal of 72570506353830 is 3835360507527.

72570506353830 is a `hidden beast` number, since 7 + 2 + 5 + 7 + 0 + 506 + 3 + 53 + 83 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 534750 + ... + 12059310.

It is an arithmetic number, because the mean of its divisors is an integer number (1058922854808).

Almost surely, 2^{72570506353830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72570506353830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101656594061568).

72570506353830 is an abundant number, since it is smaller than the sum of its proper divisors (130742681769306).

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

72570506353830 is a wasteful number, since it uses less digits than its factorization.

72570506353830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524703 (or 11524700 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 72570506353830 in words is "seventy-two trillion, five hundred seventy billion, five hundred six million, three hundred fifty-three thousand, eight hundred thirty".