71864144 has 80 divisors (see below), whose sum is σ = 162739584. Its totient is φ = 30412800.

The previous prime is 71864119. The next prime is 71864147. The reversal of 71864144 is 44146817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71864147) 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, 165752 + ... + 166184.

Almost surely, 2^71864144 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 71864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792).

71864144 is an abundant number, since it is smaller than the sum of its proper divisors (90875440).

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

71864144 is a wasteful number, since it uses less digits than its factorization.

71864144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 71864144 is about 8477.2722027784. The cubic root of 71864144 is about 415.7549407268.

The spelling of 71864144 in words is "seventy-one million, eight hundred sixty-four thousand, one hundred forty-four".