78067872 has 72 divisors (see below), whose sum is σ = 223501824. Its totient is φ = 25847424.

The previous prime is 78067867. The next prime is 78067877. The reversal of 78067872 is 27876087.

It is an interprime number because it is at equal distance from previous prime (78067867) and next prime (78067877).

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

It is not an unprimeable number, because it can be changed into a prime (78067877) 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, 46113 + ... + 47775.

It is an arithmetic number, because the mean of its divisors is an integer number (3104192).

Almost surely, 2^78067872 is an apocalyptic number.

78067872 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 78067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111750912).

78067872 is an abundant number, since it is smaller than the sum of its proper divisors (145433952).

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

78067872 is a wasteful number, since it uses less digits than its factorization.

78067872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 78067872 is about 8835.6025261439. The cubic root of 78067872 is about 427.3897612542.

The spelling of 78067872 in words is "seventy-eight million, sixty-seven thousand, eight hundred seventy-two".