10435072 has 40 divisors (see below), whose sum is σ = 21176100. Its totient is φ = 5136384.

The previous prime is 10435069. The next prime is 10435091. The reversal of 10435072 is 27053401.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 92416 = 3216^2 + 304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45454 + ... + 45682.

Almost surely, 2^10435072 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 10435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10588050).

10435072 is an abundant number, since it is smaller than the sum of its proper divisors (10741028).

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

10435072 is an frugal number, since it uses more digits than its factorization.

10435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 10435072 is about 3230.3362054127. The cubic root of 10435072 is about 218.5236688172.

Adding to 10435072 its reverse (27053401), we get a palindrome (37488473).

The spelling of 10435072 in words is "ten million, four hundred thirty-five thousand, seventy-two".