71632064 has 56 divisors (see below), whose sum is σ = 163860480. Its totient is φ = 30433536.

The previous prime is 71632063. The next prime is 71632073. The reversal of 71632064 is 46023617.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (71632061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56267 + ... + 57525.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2^71632064 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 71632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

71632064 is an abundant number, since it is smaller than the sum of its proper divisors (92228416).

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

71632064 is a wasteful number, since it uses less digits than its factorization.

71632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 71632064 is about 8463.5727680454. The cubic root of 71632064 is about 415.3069080203.

The spelling of 71632064 in words is "seventy-one million, six hundred thirty-two thousand, sixty-four".