10072384 has 28 divisors (see below), whose sum is σ = 22843744. Its totient is φ = 4316544.

The previous prime is 10072373. The next prime is 10072393. The reversal of 10072384 is 48327001.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10794 + ... + 11689.

It is an arithmetic number, because the mean of its divisors is an integer number (815848).

Almost surely, 2^10072384 is an apocalyptic number.

10072384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10072384 is an abundant number, since it is smaller than the sum of its proper divisors (12771360).

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

10072384 is an equidigital number, since it uses as much as digits as its factorization.

10072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22502 (or 22492 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10072384 is about 3173.7019393762. The cubic root of 10072384 is about 215.9620417981.

Adding to 10072384 its reverse (48327001), we get a palindrome (58399385).

The spelling of 10072384 in words is "ten million, seventy-two thousand, three hundred eighty-four".