78032032 has 72 divisors (see below), whose sum is σ = 170444736. Its totient is φ = 35133696.

The previous prime is 78032029. The next prime is 78032033. The reversal of 78032032 is 23023087.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 78031988 and 78032006.

It is not an unprimeable number, because it can be changed into a prime (78032033) by changing a digit.

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, 254023 + ... + 254329.

It is an arithmetic number, because the mean of its divisors is an integer number (2367288).

Almost surely, 2^78032032 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 78032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85222368).

78032032 is an abundant number, since it is smaller than the sum of its proper divisors (92412704).

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

78032032 is a wasteful number, since it uses less digits than its factorization.

78032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 78032032 is about 8833.5741350826. The cubic root of 78032032 is about 427.3243481152.

The spelling of 78032032 in words is "seventy-eight million, thirty-two thousand, thirty-two".