71496864 has 96 divisors (see below), whose sum is σ = 211256640. Its totient is φ = 23521536.

The previous prime is 71496863. The next prime is 71496869. The reversal of 71496864 is 46869417.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×71496864³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (71496863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71214 + ... + 72210.

It is an arithmetic number, because the mean of its divisors is an integer number (2200590).

Almost surely, 2^71496864 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 71496864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105628320).

71496864 is an abundant number, since it is smaller than the sum of its proper divisors (139759776).

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

71496864 is a wasteful number, since it uses less digits than its factorization.

71496864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1085 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 71496864 is about 8455.5818250431. The cubic root of 71496864 is about 415.0454568681.

The spelling of 71496864 in words is "seventy-one million, four hundred ninety-six thousand, eight hundred sixty-four".