78016032 has 72 divisors (see below), whose sum is σ = 229532940. Its totient is φ = 25105920.

The previous prime is 78016027. The next prime is 78016039. The reversal of 78016032 is 23061087.

It can be written as a sum of positive squares in 2 ways, for example, as 77369616 + 646416 = 8796^2 + 804^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 78015987 and 78016005.

It is not an unprimeable number, because it can be changed into a prime (78016039) 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, 3682 + ... + 13022.

Almost surely, 2^78016032 is an apocalyptic number.

78016032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114766470).

78016032 is an abundant number, since it is smaller than the sum of its proper divisors (151516908).

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

78016032 is a wasteful number, since it uses less digits than its factorization.

78016032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78016032 is about 8832.6684529648. The cubic root of 78016032 is about 427.2951393542.

The spelling of 78016032 in words is "seventy-eight million, sixteen thousand, thirty-two".