71512064 has 104 divisors (see below), whose sum is σ = 165130560. Its totient is φ = 30670848.

The previous prime is 71512033. The next prime is 71512079. The reversal of 71512064 is 46021517.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×71512064² = 10227950595080192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905177 + ... + 905255.

Almost surely, 2^71512064 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 71512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82565280).

71512064 is an abundant number, since it is smaller than the sum of its proper divisors (93618496).

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

71512064 is a wasteful number, since it uses less digits than its factorization.

71512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 71512064 is about 8456.4805918301. The cubic root of 71512064 is about 415.0748672207.

The spelling of 71512064 in words is "seventy-one million, five hundred twelve thousand, sixty-four".