10506272 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 4055040.

The previous prime is 10506263. The next prime is 10506277. The reversal of 10506272 is 27260501.

It is a super-2 number, since 2×10506272² = 220763502675968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118004 + ... + 118092.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^10506272 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 10506272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

10506272 is an abundant number, since it is smaller than the sum of its proper divisors (15621088).

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

10506272 is a wasteful number, since it uses less digits than its factorization.

10506272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10506272 is about 3241.3379953346. The cubic root of 10506272 is about 219.0195488620.

Adding to 10506272 its reverse (27260501), we get a palindrome (37766773).

The spelling of 10506272 in words is "ten million, five hundred six thousand, two hundred seventy-two".