78636672 has 48 divisors (see below), whose sum is σ = 226288530. Its totient is φ = 26211840.

The previous prime is 78636671. The next prime is 78636721. The reversal of 78636672 is 27663687.

78636672 is a `hidden beast` number, since 7 + 8 + 636 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78428736 + 207936 = 8856^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (78636671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32979 + ... + 35282.

Almost surely, 2^78636672 is an apocalyptic number.

78636672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78636672 is an abundant number, since it is smaller than the sum of its proper divisors (147651858).

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

78636672 is a wasteful number, since it uses less digits than its factorization.

78636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68281 (or 68266 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 78636672 is about 8867.7320663177. The cubic root of 78636672 is about 428.4252331827.

It can be divided in two parts, 7863 and 6672, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 78636672 in words is "seventy-eight million, six hundred thirty-six thousand, six hundred seventy-two".