71613728 has 48 divisors (see below), whose sum is σ = 145424160. Its totient is φ = 34699776.

The previous prime is 71613727. The next prime is 71613749. The reversal of 71613728 is 82731617.

It is not an unprimeable number, because it can be changed into a prime (71613727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156476 + ... + 156932.

It is an arithmetic number, because the mean of its divisors is an integer number (3029670).

Almost surely, 2^71613728 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 71613728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72712080).

71613728 is an abundant number, since it is smaller than the sum of its proper divisors (73810432).

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

71613728 is a wasteful number, since it uses less digits than its factorization.

71613728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 71613728 is about 8462.4894682357. The cubic root of 71613728 is about 415.2714689683.

The spelling of 71613728 in words is "seventy-one million, six hundred thirteen thousand, seven hundred twenty-eight".