10501272 has 64 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 3438720.

The previous prime is 10501241. The next prime is 10501279. The reversal of 10501272 is 27210501.

It is a super-2 number, since 2×10501272² = 220553427235968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12778 + ... + 13574.

Almost surely, 2^10501272 is an apocalyptic number.

10501272 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 10501272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

10501272 is an abundant number, since it is smaller than the sum of its proper divisors (19184328).

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

10501272 is a wasteful number, since it uses less digits than its factorization.

10501272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10501272 is about 3240.5666171211. The cubic root of 10501272 is about 218.9847990950.

Adding to 10501272 its reverse (27210501), we get a palindrome (37711773).

The spelling of 10501272 in words is "ten million, five hundred one thousand, two hundred seventy-two".