10355072 has 96 divisors (see below), whose sum is σ = 26046720. Its totient is φ = 4064256.

The previous prime is 10355071. The next prime is 10355077. The reversal of 10355072 is 27055301.

It is a super-3 number, since 3×10355072³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81473 + ... + 81599.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 2^10355072 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 10355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023360).

10355072 is an abundant number, since it is smaller than the sum of its proper divisors (15691648).

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

10355072 is a wasteful number, since it uses less digits than its factorization.

10355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 10355072 is about 3217.9297692771. The cubic root of 10355072 is about 217.9638017500.

The spelling of 10355072 in words is "ten million, three hundred fifty-five thousand, seventy-two".