132264072 has 48 divisors (see below), whose sum is σ = 359599500. Its totient is φ = 43917696.

The previous prime is 132264049. The next prime is 132264079. The reversal of 132264072 is 270462231.

132264072 is a `hidden beast` number, since 13 + 2 + 2 + 640 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124679556 + 7584516 = 11166^2 + 2754^2 .

It is not an unprimeable number, because it can be changed into a prime (132264079) 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, 15954 + ... + 22782.

Almost surely, 2^132264072 is an apocalyptic number.

132264072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132264072 is an abundant number, since it is smaller than the sum of its proper divisors (227335428).

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

132264072 is a wasteful number, since it uses less digits than its factorization.

132264072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 132264072 is about 11500.6118098126. The cubic root of 132264072 is about 509.5036462652.

The spelling of 132264072 in words is "one hundred thirty-two million, two hundred sixty-four thousand, seventy-two".