10007730 has 96 divisors (see below), whose sum is σ = 28574208. Its totient is φ = 2419200.

The previous prime is 10007719. The next prime is 10007741. The reversal of 10007730 is 3770001.

It is an interprime number because it is at equal distance from previous prime (10007719) and next prime (10007741).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47325 + ... + 47535.

It is an arithmetic number, because the mean of its divisors is an integer number (297648).

Almost surely, 2^10007730 is an apocalyptic number.

10007730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10007730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287104).

10007730 is an abundant number, since it is smaller than the sum of its proper divisors (18566478).

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

10007730 is a wasteful number, since it uses less digits than its factorization.

10007730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 10007730 is about 3163.4996443812. The cubic root of 10007730 is about 215.4989673061.

10007730 divided by its sum of digits (18) gives a triangular number (555985 = T₁₀₅₄).

Adding to 10007730 its reverse (3770001), we get a palindrome (13777731).

The spelling of 10007730 in words is "ten million, seven thousand, seven hundred thirty".