78352128 has 108 divisors (see below), whose sum is σ = 233408448. Its totient is φ = 25251840.

The previous prime is 78352117. The next prime is 78352139. The reversal of 78352128 is 82125387.

It is an interprime number because it is at equal distance from previous prime (78352117) and next prime (78352139).

It is a super-2 number, since 2×78352128² = 12278111924256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78352092 and 78352101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70876 + ... + 71972.

Almost surely, 2^78352128 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 78352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116704224).

78352128 is an abundant number, since it is smaller than the sum of its proper divisors (155056320).

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

78352128 is a wasteful number, since it uses less digits than its factorization.

78352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1133 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 78352128 is about 8851.6737400336. The cubic root of 78352128 is about 427.9078614949.

The spelling of 78352128 in words is "seventy-eight million, three hundred fifty-two thousand, one hundred twenty-eight".