71362368 has 168 divisors, whose sum is σ = 255178560. Its totient is φ = 18524160.

The previous prime is 71362331. The next prime is 71362373. The reversal of 71362368 is 86326317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43548 + ... + 45156.

It is an arithmetic number, because the mean of its divisors is an integer number (1518920).

Almost surely, 2^71362368 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 71362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127589280).

71362368 is an abundant number, since it is smaller than the sum of its proper divisors (183816192).

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

71362368 is a wasteful number, since it uses less digits than its factorization.

71362368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1632 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 71362368 is about 8447.6249916767. The cubic root of 71362368 is about 414.7850398822.

The spelling of 71362368 in words is "seventy-one million, three hundred sixty-two thousand, three hundred sixty-eight".