10073935872 has 936 divisors, whose sum is σ = 41011354080. Its totient is φ = 2415329280.

The previous prime is 10073935849. The next prime is 10073935889. The reversal of 10073935872 is 27853937001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (936).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 774918138 + ... + 774918150.

Almost surely, 2^10073935872 is an apocalyptic number.

10073935872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10073935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505677040).

10073935872 is an abundant number, since it is smaller than the sum of its proper divisors (30937418208).

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

10073935872 is a wasteful number, since it uses less digits than its factorization.

10073935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10073935872 in words is "ten billion, seventy-three million, nine hundred thirty-five thousand, eight hundred seventy-two".