78582272 has 40 divisors (see below), whose sum is σ = 162108672. Its totient is φ = 38016000.

The previous prime is 78582247. The next prime is 78582289. The reversal of 78582272 is 27228587.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13397 + ... + 18347.

Almost surely, 2^78582272 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 78582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81054336).

78582272 is an abundant number, since it is smaller than the sum of its proper divisors (83526400).

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

78582272 is an equidigital number, since it uses as much as digits as its factorization.

78582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4984 counting only the distinct ones).

The product of its digits is 125440, while the sum is 41.

The square root of 78582272 is about 8864.6642350402. The cubic root of 78582272 is about 428.3264170769.

The spelling of 78582272 in words is "seventy-eight million, five hundred eighty-two thousand, two hundred seventy-two".