10207384272 has 120 divisors (see below), whose sum is σ = 30272828040. Its totient is φ = 3204956160.

The previous prime is 10207384237. The next prime is 10207384303. The reversal of 10207384272 is 27248370201.

10207384272 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 7 + 384 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2165599296 + 8041784976 = 46536^2 + 89676^2 .

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

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, 141408 + ... + 201024.

It is an arithmetic number, because the mean of its divisors is an integer number (252273567).

Almost surely, 2^10207384272 is an apocalyptic number.

10207384272 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 10207384272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136414020).

10207384272 is an abundant number, since it is smaller than the sum of its proper divisors (20065443768).

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

10207384272 is a wasteful number, since it uses less digits than its factorization.

10207384272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59701 (or 59692 counting only the distinct ones).

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

The spelling of 10207384272 in words is "ten billion, two hundred seven million, three hundred eighty-four thousand, two hundred seventy-two".