75576132 has 48 divisors (see below), whose sum is σ = 196425600. Its totient is φ = 25129440.

The previous prime is 75576121. The next prime is 75576139. The reversal of 75576132 is 23167557.

75576132 is a `hidden beast` number, since 75 + 576 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (75576139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67594 + ... + 68702.

It is an arithmetic number, because the mean of its divisors is an integer number (4092200).

Almost surely, 2^75576132 is an apocalyptic number.

It is an amenable number.

75576132 is an abundant number, since it is smaller than the sum of its proper divisors (120849468).

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

75576132 is a wasteful number, since it uses less digits than its factorization.

75576132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 75576132 is about 8693.4533989664. The cubic root of 75576132 is about 422.7934205824.

It can be divided in two parts, 7557 and 6132, that added together give a square (13689 = 117²).

The spelling of 75576132 in words is "seventy-five million, five hundred seventy-six thousand, one hundred thirty-two".