10072719600 has 120 divisors (see below), whose sum is σ = 32289830640. Its totient is φ = 2684098560.

The previous prime is 10072719583. The next prime is 10072719619. The reversal of 10072719600 is 691727001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480772 + ... + 2484828.

It is an arithmetic number, because the mean of its divisors is an integer number (269081922).

Almost surely, 2^10072719600 is an apocalyptic number.

10072719600 is a gapful number since it is divisible by the number (10) 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 10072719600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144915320).

10072719600 is an abundant number, since it is smaller than the sum of its proper divisors (22217111040).

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

10072719600 is a wasteful number, since it uses less digits than its factorization.

10072719600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 10072719600 in words is "ten billion, seventy-two million, seven hundred nineteen thousand, six hundred".