78171936 has 96 divisors (see below), whose sum is σ = 217546560. Its totient is φ = 24536064.

The previous prime is 78171911. The next prime is 78171937. The reversal of 78171936 is 63917187.

78171936 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×78171936² = 12221703155976192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78171937) 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 15 ways as a sum of consecutive naturals, for example, 119386 + ... + 120038.

It is an arithmetic number, because the mean of its divisors is an integer number (2266110).

Almost surely, 2^78171936 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 78171936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108773280).

78171936 is an abundant number, since it is smaller than the sum of its proper divisors (139374624).

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

78171936 is a wasteful number, since it uses less digits than its factorization.

78171936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 78171936 is about 8841.4894672787. The cubic root of 78171936 is about 427.5795795904.

The spelling of 78171936 in words is "seventy-eight million, one hundred seventy-one thousand, nine hundred thirty-six".