71537648 has 60 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 28296576.

The previous prime is 71537647. The next prime is 71537657. The reversal of 71537648 is 84673517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71537647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6683 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^71537648 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 71537648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

71537648 is an abundant number, since it is smaller than the sum of its proper divisors (102123112).

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

71537648 is a wasteful number, since it uses less digits than its factorization.

71537648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054 (or 7041 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 71537648 is about 8457.9931425841. The cubic root of 71537648 is about 415.1243600786.

The spelling of 71537648 in words is "seventy-one million, five hundred thirty-seven thousand, six hundred forty-eight".