77232 has 20 divisors (see below), whose sum is σ = 199640. Its totient is φ = 25728.

The previous prime is 77213. The next prime is 77237. The reversal of 77232 is 23277.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 77199 and 77208.

It is not an unprimeable number, because it can be changed into a prime (77237) by changing a digit.

77232 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, 757 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (9982).

2⁷⁷²³² is an apocalyptic number.

It is an amenable number.

77232 is an abundant number, since it is smaller than the sum of its proper divisors (122408).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99820).

77232 is a wasteful number, since it uses less digits than its factorization.

77232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its digits is 588, while the sum is 21.

The square root of 77232 is about 277.9064590829. The cubic root of 77232 is about 42.5858931889.

The spelling of 77232 in words is "seventy-seven thousand, two hundred thirty-two".