71436768 has 48 divisors (see below), whose sum is σ = 201949776. Its totient is φ = 21980160.

The previous prime is 71436763. The next prime is 71436769. The reversal of 71436768 is 86763417.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71436763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27373 + ... + 29868.

It is an arithmetic number, because the mean of its divisors is an integer number (4207287).

Almost surely, 2^71436768 is an apocalyptic number.

71436768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

71436768 is an abundant number, since it is smaller than the sum of its proper divisors (130513008).

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

71436768 is a wasteful number, since it uses less digits than its factorization.

71436768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57267 (or 57259 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 71436768 is about 8452.0274490799. The cubic root of 71436768 is about 414.9291367852.

The spelling of 71436768 in words is "seventy-one million, four hundred thirty-six thousand, seven hundred sixty-eight".