78032 has 10 divisors (see below), whose sum is σ = 151218. Its totient is φ = 39008.

The previous prime is 78031. The next prime is 78041. The reversal of 78032 is 23087.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 18496 = 244^2 + 136^2 .

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 = 77995 and 78013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2423 + ... + 2454.

2⁷⁸⁰³² is an apocalyptic number.

It is an amenable number.

78032 is a deficient number, since it is larger than the sum of its proper divisors (73186).

78032 is a wasteful number, since it uses less digits than its factorization.

78032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 78032 is about 279.3420841907. The cubic root of 78032 is about 42.7324289702.

Subtracting from 78032 its reverse (23087), we obtain a palindrome (54945).

The spelling of 78032 in words is "seventy-eight thousand, thirty-two".