10132272 has 60 divisors (see below), whose sum is σ = 30031560. Its totient is φ = 3177984.

The previous prime is 10132237. The next prime is 10132273. The reversal of 10132272 is 27223101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379 + ... + 4517.

It is an arithmetic number, because the mean of its divisors is an integer number (500526).

Almost surely, 2^10132272 is an apocalyptic number.

10132272 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 10132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015780).

10132272 is an abundant number, since it is smaller than the sum of its proper divisors (19899288).

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

10132272 is a wasteful number, since it uses less digits than its factorization.

10132272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10132272 is about 3183.1229947961. The cubic root of 10132272 is about 216.3892159360.

Adding to 10132272 its reverse (27223101), we get a palindrome (37355373).

It can be divided in two parts, 10132 and 272, that added together give a square (10404 = 102²).

The spelling of 10132272 in words is "ten million, one hundred thirty-two thousand, two hundred seventy-two".