71442336 has 96 divisors (see below), whose sum is σ = 219639168. Its totient is φ = 19906560.

The previous prime is 71442331. The next prime is 71442389. The reversal of 71442336 is 63324417.

71442336 = 349² + 350² + ... + 635².

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

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

It is not an unprimeable number, because it can be changed into a prime (71442331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26256 + ... + 28848.

It is an arithmetic number, because the mean of its divisors is an integer number (2287908).

Almost surely, 2^71442336 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 71442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109819584).

71442336 is an abundant number, since it is smaller than the sum of its proper divisors (148196832).

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

71442336 is a wasteful number, since it uses less digits than its factorization.

71442336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2646 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 71442336 is about 8452.3568310856. The cubic root of 71442336 is about 414.9399167867.

The spelling of 71442336 in words is "seventy-one million, four hundred forty-two thousand, three hundred thirty-six".