10216272 has 60 divisors (see below), whose sum is σ = 29025920. Its totient is φ = 3094080.

The previous prime is 10216247. The next prime is 10216273. The reversal of 10216272 is 27261201.

10216272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10216272³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216273) 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, 4929 + ... + 6687.

Almost surely, 2^10216272 is an apocalyptic number.

10216272 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 10216272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512960).

10216272 is an abundant number, since it is smaller than the sum of its proper divisors (18809648).

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

10216272 is a wasteful number, since it uses less digits than its factorization.

10216272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10216272 is about 3196.2903497649. The cubic root of 10216272 is about 216.9855512193.

Adding to 10216272 its reverse (27261201), we get a palindrome (37477473).

The spelling of 10216272 in words is "ten million, two hundred sixteen thousand, two hundred seventy-two".