10072304 has 40 divisors (see below), whose sum is σ = 21486720. Its totient is φ = 4536000.

The previous prime is 10072301. The next prime is 10072319. The reversal of 10072304 is 40327001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26387 + ... + 26765.

It is an arithmetic number, because the mean of its divisors is an integer number (537168).

Almost surely, 2^10072304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743360).

10072304 is an abundant number, since it is smaller than the sum of its proper divisors (11414416).

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

10072304 is a wasteful number, since it uses less digits than its factorization.

10072304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 10072304 is about 3173.6893357731. The cubic root of 10072304 is about 215.9614700365.

Adding to 10072304 its reverse (40327001), we get a palindrome (50399305).

The spelling of 10072304 in words is "ten million, seventy-two thousand, three hundred four".