13072720896 has 165 divisors, whose sum is σ = 39136279809. Its totient is φ = 4346597376.

The previous prime is 13072720873. The next prime is 13072720901. The reversal of 13072720896 is 69802727031.

The square root of 13072720896 is 114336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8760960000 + 4311760896 = 93600^2 + 65664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32928570 + ... + 32928966.

Almost surely, 2^13072720896 is an apocalyptic number.

13072720896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13072720896 is the 114336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13072720896

13072720896 is an abundant number, since it is smaller than the sum of its proper divisors (26063558913).

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

13072720896 is an frugal number, since it uses more digits than its factorization.

13072720896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13072720896 in words is "thirteen billion, seventy-two million, seven hundred twenty thousand, eight hundred ninety-six".