71864576 has 108 divisors (see below), whose sum is σ = 177208668. Its totient is φ = 28901376.

The previous prime is 71864561. The next prime is 71864579. The reversal of 71864576 is 67546817.

It can be written as a sum of positive squares in 2 ways, for example, as 37945600 + 33918976 = 6160^2 + 5824^2 .

Its product of digits (282240) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (71864579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213080 + ... + 213416.

It is an arithmetic number, because the mean of its divisors is an integer number (1640821).

Almost surely, 2^71864576 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 71864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88604334).

71864576 is an abundant number, since it is smaller than the sum of its proper divisors (105344092).

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

71864576 is a wasteful number, since it uses less digits than its factorization.

71864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 71864576 is about 8477.2976826345. The cubic root of 71864576 is about 415.7557738070.

The spelling of 71864576 in words is "seventy-one million, eight hundred sixty-four thousand, five hundred seventy-six".