10327152 has 40 divisors (see below), whose sum is σ = 29105280. Its totient is φ = 3129280.

The previous prime is 10327147. The next prime is 10327153. The reversal of 10327152 is 25172301.

It is a super-2 number, since 2×10327152² = 213300136862208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10327153) 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, 9252 + ... + 10307.

It is an arithmetic number, because the mean of its divisors is an integer number (727632).

Almost surely, 2^10327152 is an apocalyptic number.

10327152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10327152 is an abundant number, since it is smaller than the sum of its proper divisors (18778128).

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

10327152 is a wasteful number, since it uses less digits than its factorization.

10327152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19581 (or 19575 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10327152 is about 3213.5886482249. The cubic root of 10327152 is about 217.7677294946.

Adding to 10327152 its reverse (25172301), we get a palindrome (35499453).

The spelling of 10327152 in words is "ten million, three hundred twenty-seven thousand, one hundred fifty-two".