10205236272 has 240 divisors, whose sum is σ = 35425268352. Its totient is φ = 2494679040.

The previous prime is 10205236207. The next prime is 10205236291. The reversal of 10205236272 is 27263250201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428223 + ... + 451425.

Almost surely, 2^10205236272 is an apocalyptic number.

10205236272 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 10205236272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712634176).

10205236272 is an abundant number, since it is smaller than the sum of its proper divisors (25220032080).

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

10205236272 is a wasteful number, since it uses less digits than its factorization.

10205236272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23256 (or 23243 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 10205236272 its reverse (27263250201), we get a palindrome (37468486473).

The spelling of 10205236272 in words is "ten billion, two hundred five million, two hundred thirty-six thousand, two hundred seventy-two".