71437968 has 120 divisors (see below), whose sum is σ = 230657856. Its totient is φ = 20217600.

The previous prime is 71437939. The next prime is 71437969. The reversal of 71437968 is 86973417.

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 (71437969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131778 + ... + 132318.

Almost surely, 2^71437968 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 71437968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115328928).

71437968 is an abundant number, since it is smaller than the sum of its proper divisors (159219888).

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

71437968 is a wasteful number, since it uses less digits than its factorization.

71437968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 71437968 is about 8452.0984376662. The cubic root of 71437968 is about 414.9314601087.

The spelling of 71437968 in words is "seventy-one million, four hundred thirty-seven thousand, nine hundred sixty-eight".