132703272 has 192 divisors, whose sum is σ = 412776000. Its totient is φ = 39688704.

The previous prime is 132703267. The next prime is 132703303. The reversal of 132703272 is 272307231.

It is a happy number.

It is a super-2 number, since 2×132703272² = 35220316799011968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1491004 + ... + 1491092.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^132703272 is an apocalyptic number.

132703272 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 132703272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

132703272 is an abundant number, since it is smaller than the sum of its proper divisors (280072728).

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

132703272 is a wasteful number, since it uses less digits than its factorization.

132703272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 132703272 is about 11519.6906208457. The cubic root of 132703272 is about 510.0669808221.

It can be divided in two parts, 1327032 and 72, that added together give a square (1327104 = 1152²).

The spelling of 132703272 in words is "one hundred thirty-two million, seven hundred three thousand, two hundred seventy-two".