71538960 has 80 divisors (see below), whose sum is σ = 223182144. Its totient is φ = 18955776.

The previous prime is 71538953. The next prime is 71538977. The reversal of 71538960 is 6983517.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40659 + ... + 42381.

Almost surely, 2^71538960 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 71538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111591072).

71538960 is an abundant number, since it is smaller than the sum of its proper divisors (151643184).

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

71538960 is a wasteful number, since it uses less digits than its factorization.

71538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 71538960 is about 8458.0707019982. The cubic root of 71538960 is about 415.1268978558.

The spelling of 71538960 in words is "seventy-one million, five hundred thirty-eight thousand, nine hundred sixty".