10129272 has 32 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 3365984.

The previous prime is 10129271. The next prime is 10129283. The reversal of 10129272 is 27292101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (10129271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13729 + ... + 14447.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^10129272 is an apocalyptic number.

10129272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10129272 is an abundant number, since it is smaller than the sum of its proper divisors (15272328).

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

10129272 is a wasteful number, since it uses less digits than its factorization.

10129272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10129272 is about 3182.6517245844. The cubic root of 10129272 is about 216.3678573922.

It can be divided in two parts, 10129 and 272, that added together give a palindrome (10401).

The spelling of 10129272 in words is "ten million, one hundred twenty-nine thousand, two hundred seventy-two".