78188672 has 16 divisors (see below), whose sum is σ = 155766750. Its totient is φ = 39094272.

The previous prime is 78188657. The next prime is 78188687. The reversal of 78188672 is 27688187.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78188657) and next prime (78188687).

It can be written as a sum of positive squares in only one way, i.e., 53348416 + 24840256 = 7304^2 + 4984^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×78188672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305297 + ... + 305552.

Almost surely, 2^78188672 is an apocalyptic number.

It is an amenable number.

78188672 is a deficient number, since it is larger than the sum of its proper divisors (77578078).

78188672 is an equidigital number, since it uses as much as digits as its factorization.

78188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610863 (or 610851 counting only the distinct ones).

The product of its digits is 301056, while the sum is 47.

The square root of 78188672 is about 8842.4358634937. The cubic root of 78188672 is about 427.6100912275.

The spelling of 78188672 in words is "seventy-eight million, one hundred eighty-eight thousand, six hundred seventy-two".