10035072 has 96 divisors (see below), whose sum is σ = 29914560. Its totient is φ = 3225600.

The previous prime is 10035071. The next prime is 10035089. The reversal of 10035072 is 27053001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35572 + ... + 35852.

It is an arithmetic number, because the mean of its divisors is an integer number (311610).

Almost surely, 2^10035072 is an apocalyptic number.

10035072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957280).

10035072 is an abundant number, since it is smaller than the sum of its proper divisors (19879488).

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

10035072 is a wasteful number, since it uses less digits than its factorization.

10035072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10035072 is about 3167.8181766004. The cubic root of 10035072 is about 215.6950429035.

Adding to 10035072 its reverse (27053001), we get a palindrome (37088073).

The spelling of 10035072 in words is "ten million, thirty-five thousand, seventy-two".