78472 has 16 divisors (see below), whose sum is σ = 156060. Its totient is φ = 36864.

The previous prime is 78467. The next prime is 78479. The reversal of 78472 is 27487.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 17956 = 246^2 + 134^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 78472.

It is not an unprimeable number, because it can be changed into a prime (78479) by changing a digit.

78472 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, 153 + ... + 424.

2⁷⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

78472 is a deficient number, since it is larger than the sum of its proper divisors (77588).

78472 is a wasteful number, since it uses less digits than its factorization.

78472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 78472 is about 280.1285419232. The cubic root of 78472 is about 42.8125971014.

The spelling of 78472 in words is "seventy-eight thousand, four hundred seventy-two".