78352 has 20 divisors (see below), whose sum is σ = 156240. Its totient is φ = 38048.

The previous prime is 78347. The next prime is 78367. The reversal of 78352 is 25387.

It is a super-2 number, since 2×78352² = 12278071808, which contains 22 as substring.

It is an unprimeable number.

78352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 903 + ... + 985.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷⁸³⁵² is an apocalyptic number.

It is an amenable number.

78352 is a deficient number, since it is larger than the sum of its proper divisors (77888).

78352 is a wasteful number, since it uses less digits than its factorization.

78352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 78352 is about 279.9142725907. The cubic root of 78352 is about 42.7907628477.

The spelling of 78352 in words is "seventy-eight thousand, three hundred fifty-two".