71488640 has 64 divisors (see below), whose sum is σ = 179928000. Its totient is φ = 27085824.

The previous prime is 71488639. The next prime is 71488663. The reversal of 71488640 is 4688417.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×71488640² = 10221251298099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 71488594 and 71488603.

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, 9221 + ... + 15099.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2^71488640 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 71488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964000).

71488640 is an abundant number, since it is smaller than the sum of its proper divisors (108439360).

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

71488640 is a wasteful number, since it uses less digits than its factorization.

71488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 71488640 is about 8455.0955050786. The cubic root of 71488640 is about 415.0295425817.

The spelling of 71488640 in words is "seventy-one million, four hundred eighty-eight thousand, six hundred forty".