71835064 has 64 divisors (see below), whose sum is σ = 165792960. Its totient is φ = 28477440.

The previous prime is 71835041. The next prime is 71835077. The reversal of 71835064 is 46053817.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57454 + ... + 58690.

It is an arithmetic number, because the mean of its divisors is an integer number (2590515).

Almost surely, 2^71835064 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 71835064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82896480).

71835064 is an abundant number, since it is smaller than the sum of its proper divisors (93957896).

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

71835064 is a wasteful number, since it uses less digits than its factorization.

71835064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 71835064 is about 8475.5568548621. The cubic root of 71835064 is about 415.6988544129.

The spelling of 71835064 in words is "seventy-one million, eight hundred thirty-five thousand, sixty-four".