78525 has 18 divisors (see below), whose sum is σ = 141050. Its totient is φ = 41760.

The previous prime is 78517. The next prime is 78539. The reversal of 78525 is 52587.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10404 + 68121 = 102^2 + 261^2 .

It is not a de Polignac number, because 78525 - 2³ = 78517 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51 + ... + 399.

2⁷⁸⁵²⁵ is an apocalyptic number.

78525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78525 is a deficient number, since it is larger than the sum of its proper divisors (62525).

78525 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (78524) it forms an eRAP, since the sums of their prime factors are consecutive (364 and 365).

78525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 78525 is about 280.2231253840. The cubic root of 78525 is about 42.8222334770.

The spelling of 78525 in words is "seventy-eight thousand, five hundred twenty-five".