78576672 has 48 divisors (see below), whose sum is σ = 209774880. Its totient is φ = 25746432.

The previous prime is 78576653. The next prime is 78576677. The reversal of 78576672 is 27667587.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (78576677) 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 7 ways as a sum of consecutive naturals, for example, 1273 + ... + 12600.

It is an arithmetic number, because the mean of its divisors is an integer number (4370310).

Almost surely, 2^78576672 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 78576672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104887440).

78576672 is an abundant number, since it is smaller than the sum of its proper divisors (131198208).

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

78576672 is a wasteful number, since it uses less digits than its factorization.

78576672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945 (or 13937 counting only the distinct ones).

The product of its digits is 987840, while the sum is 48.

The square root of 78576672 is about 8864.3483686056. The cubic root of 78576672 is about 428.3162422421.

The spelling of 78576672 in words is "seventy-eight million, five hundred seventy-six thousand, six hundred seventy-two".