10613072 has 40 divisors (see below), whose sum is σ = 21594600. Its totient is φ = 5046272.

The previous prime is 10613063. The next prime is 10613111. The reversal of 10613072 is 27031601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3083536 + 7529536 = 1756^2 + 2744^2 .

It is a super-2 number, since 2×10613072² = 225274594554368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41168 + ... + 41424.

It is an arithmetic number, because the mean of its divisors is an integer number (539865).

Almost surely, 2^10613072 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 10613072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10797300).

10613072 is an abundant number, since it is smaller than the sum of its proper divisors (10981528).

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

10613072 is a wasteful number, since it uses less digits than its factorization.

10613072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 10613072 is about 3257.7710171220. The cubic root of 10613072 is about 219.7591855338.

Adding to 10613072 its reverse (27031601), we get a palindrome (37644673).

The spelling of 10613072 in words is "ten million, six hundred thirteen thousand, seventy-two".