78672128 has 36 divisors (see below), whose sum is σ = 162467340. Its totient is φ = 37976064.

The previous prime is 78672091. The next prime is 78672133. The reversal of 78672128 is 82127687.

It can be written as a sum of positive squares in 2 ways, for example, as 17707264 + 60964864 = 4208^2 + 7808^2 .

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, 2126 + ... + 12722.

Almost surely, 2^78672128 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 78672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81233670).

78672128 is an abundant number, since it is smaller than the sum of its proper divisors (83795212).

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

78672128 is a wasteful number, since it uses less digits than its factorization.

78672128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10628 counting only the distinct ones).

The product of its digits is 75264, while the sum is 41.

The square root of 78672128 is about 8869.7309993032. The cubic root of 78672128 is about 428.4896135040.

The spelling of 78672128 in words is "seventy-eight million, six hundred seventy-two thousand, one hundred twenty-eight".