10002072348720 has 240 divisors, whose sum is σ = 34704012824832. Its totient is φ = 2578934661120.

The previous prime is 10002072348701. The next prime is 10002072348769. The reversal of 10002072348720 is 2784327020001.

10002072348720 is a `hidden beast` number, since 100 + 0 + 2 + 0 + 72 + 3 + 487 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25540632 + ... + 25929288.

Almost surely, 2^{10002072348720} is an apocalyptic number.

10002072348720 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 10002072348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17352006412416).

10002072348720 is an abundant number, since it is smaller than the sum of its proper divisors (24701940476112).

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

10002072348720 is a wasteful number, since it uses less digits than its factorization.

10002072348720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389860 (or 389851 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 10002072348720 its reverse (2784327020001), we get a palindrome (12786399368721).

The spelling of 10002072348720 in words is "ten trillion, two billion, seventy-two million, three hundred forty-eight thousand, seven hundred twenty".