78036672 has 112 divisors (see below), whose sum is σ = 243709952. Its totient is φ = 21565440.

The previous prime is 78036671. The next prime is 78036689. The reversal of 78036672 is 27663087.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×78036672³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78036672.

It is not an unprimeable number, because it can be changed into a prime (78036671) 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 15 ways as a sum of consecutive naturals, for example, 40728 + ... + 42600.

Almost surely, 2^78036672 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 78036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121854976).

78036672 is an abundant number, since it is smaller than the sum of its proper divisors (165673280).

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

78036672 is a wasteful number, since it uses less digits than its factorization.

78036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 78036672 is about 8833.8367655283. The cubic root of 78036672 is about 427.3328179091.

The spelling of 78036672 in words is "seventy-eight million, thirty-six thousand, six hundred seventy-two".