72851830990770 has 256 divisors, whose sum is σ = 195163378421760. Its totient is φ = 17280956980224.

The previous prime is 72851830990739. The next prime is 72851830990823. The reversal of 72851830990770 is 7709903815827.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15424903629 + ... + 15424908351.

It is an arithmetic number, because the mean of its divisors is an integer number (762356946960).

Almost surely, 2^{72851830990770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72851830990770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97581689210880).

72851830990770 is an abundant number, since it is smaller than the sum of its proper divisors (122311547430990).

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

72851830990770 is a wasteful number, since it uses less digits than its factorization.

72851830990770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121.

The product of its (nonzero) digits is 53343360, while the sum is 66.

The spelling of 72851830990770 in words is "seventy-two trillion, eight hundred fifty-one billion, eight hundred thirty million, nine hundred ninety thousand, seven hundred seventy".