10359272 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3960000.

The previous prime is 10359247. The next prime is 10359277. The reversal of 10359272 is 27295301.

It is a super-3 number, since 3×10359272³ (a number of 22 digits) contains 333 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10359277) 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 15 ways as a sum of consecutive naturals, for example, 41147 + ... + 41397.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^10359272 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 10359272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10359272 is an abundant number, since it is smaller than the sum of its proper divisors (14316568).

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

10359272 is a wasteful number, since it uses less digits than its factorization.

10359272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 10359272 is about 3218.5822966020. The cubic root of 10359272 is about 217.9932663521.

It can be divided in two parts, 103 and 59272, that multiplied together give a palindrome (6105016).

The spelling of 10359272 in words is "ten million, three hundred fifty-nine thousand, two hundred seventy-two".