78582528 has 72 divisors (see below), whose sum is σ = 232402800. Its totient is φ = 26191872.

The previous prime is 78582523. The next prime is 78582533. The reversal of 78582528 is 82528587.

78582528 is a `hidden beast` number, since 78 + 58 + 2 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (78582523) and next prime (78582533).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78582523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1228 + ... + 12596.

Almost surely, 2^78582528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116201400).

78582528 is an abundant number, since it is smaller than the sum of its proper divisors (153820272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78582528 is a wasteful number, since it uses less digits than its factorization.

78582528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11394 (or 11374 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 78582528 is about 8864.6786743796. The cubic root of 78582528 is about 428.3268822007.

The spelling of 78582528 in words is "seventy-eight million, five hundred eighty-two thousand, five hundred twenty-eight".