71135064 has 384 divisors, whose sum is σ = 275788800. Its totient is φ = 16692480.

The previous prime is 71135059. The next prime is 71135081. The reversal of 71135064 is 46053117.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1513489 + ... + 1513535.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^71135064 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 71135064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

71135064 is an abundant number, since it is smaller than the sum of its proper divisors (204653736).

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

71135064 is a wasteful number, since it uses less digits than its factorization.

71135064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71135064 is about 8434.1605391408. The cubic root of 71135064 is about 414.3441792355.

The spelling of 71135064 in words is "seventy-one million, one hundred thirty-five thousand, sixty-four".