77132 has 12 divisors (see below), whose sum is σ = 147336. Its totient is φ = 35040.

The previous prime is 77101. The next prime is 77137. The reversal of 77132 is 23177.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77137) by changing a digit.

77132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (12278).

2⁷⁷¹³² is an apocalyptic number.

It is an amenable number.

77132 is a deficient number, since it is larger than the sum of its proper divisors (70204).

77132 is a wasteful number, since it uses less digits than its factorization.

77132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1766 counting only the distinct ones).

The product of its digits is 294, while the sum is 20.

The square root of 77132 is about 277.7264841530. The cubic root of 77132 is about 42.5675051776.

The spelling of 77132 in words is "seventy-seven thousand, one hundred thirty-two".