71501664 has 192 divisors, whose sum is σ = 219469824. Its totient is φ = 20207616.

The previous prime is 71501653. The next prime is 71501713. The reversal of 71501664 is 46610517.

It is a super-2 number, since 2×71501664² = 10224975909537792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349062 + ... + 1349114.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 2^71501664 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 71501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912).

71501664 is an abundant number, since it is smaller than the sum of its proper divisors (147968160).

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

71501664 is a wasteful number, since it uses less digits than its factorization.

71501664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 71501664 is about 8455.8656564541. The cubic root of 71501664 is about 415.0547447981.

The spelling of 71501664 in words is "seventy-one million, five hundred one thousand, six hundred sixty-four".