10033072 has 40 divisors (see below), whose sum is σ = 22989600. Its totient is φ = 4150272.

The previous prime is 10033063. The next prime is 10033073. The reversal of 10033072 is 27033001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10033073) 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, 1704 + ... + 4792.

It is an arithmetic number, because the mean of its divisors is an integer number (574740).

Almost surely, 2^10033072 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 10033072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494800).

10033072 is an abundant number, since it is smaller than the sum of its proper divisors (12956528).

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

10033072 is a wasteful number, since it uses less digits than its factorization.

10033072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 10033072 is about 3167.5024861869. The cubic root of 10033072 is about 215.6807125380.

Adding to 10033072 its reverse (27033001), we get a palindrome (37066073).

The spelling of 10033072 in words is "ten million, thirty-three thousand, seventy-two".