10272416 has 72 divisors (see below), whose sum is σ = 25472160. Its totient is φ = 3991680.

The previous prime is 10272413. The next prime is 10272473. The reversal of 10272416 is 61427201.

10272416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10272391 and 10272400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272413) 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, 26915 + ... + 27293.

It is an arithmetic number, because the mean of its divisors is an integer number (353780).

Almost surely, 2^10272416 is an apocalyptic number.

10272416 is a gapful number since it is divisible by the number (16) 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 10272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736080).

10272416 is an abundant number, since it is smaller than the sum of its proper divisors (15199744).

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

10272416 is a wasteful number, since it uses less digits than its factorization.

10272416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10272416 is about 3205.0609978595. The cubic root of 10272416 is about 217.3823100464.

Adding to 10272416 its reverse (61427201), we get a palindrome (71699617).

It can be divided in two parts, 1027 and 2416, that added together give a palindrome (3443).

The spelling of 10272416 in words is "ten million, two hundred seventy-two thousand, four hundred sixteen".