78237 has 6 divisors (see below), whose sum is σ = 113022. Its totient is φ = 52152.

The previous prime is 78233. The next prime is 78241. The reversal of 78237 is 73287.

It is an interprime number because it is at equal distance from previous prime (78233) and next prime (78241).

It can be written as a sum of positive squares in only one way, i.e., 47961 + 30276 = 219^2 + 174^2 .

It is not a de Polignac number, because 78237 - 2² = 78233 is a prime.

It is a super-2 number, since 2×78237² = 12242056338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4338 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (18837).

2⁷⁸²³⁷ is an apocalyptic number.

It is an amenable number.

78237 is a deficient number, since it is larger than the sum of its proper divisors (34785).

78237 is a wasteful number, since it uses less digits than its factorization.

78237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8696 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 78237 is about 279.7087771236. The cubic root of 78237 is about 42.7698174252.

Subtracting from 78237 its sum of digits (27), we obtain a triangular number (78210 = T₃₉₅).

Subtracting from 78237 its reverse (73287), we obtain a triangular number (4950 = T₉₉).

The spelling of 78237 in words is "seventy-eight thousand, two hundred thirty-seven".