10135272 has 128 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 2661120.

The previous prime is 10135261. The next prime is 10135283. The reversal of 10135272 is 27253101.

10135272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10135261) and next prime (10135283).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166122 + ... + 166182.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^10135272 is an apocalyptic number.

10135272 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 10135272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

10135272 is an abundant number, since it is smaller than the sum of its proper divisors (21291288).

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

10135272 is a wasteful number, since it uses less digits than its factorization.

10135272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10135272 is about 3183.5941952454. The cubic root of 10135272 is about 216.4105702644.

Adding to 10135272 its reverse (27253101), we get a palindrome (37388373).

The spelling of 10135272 in words is "ten million, one hundred thirty-five thousand, two hundred seventy-two".