71605440 has 252 divisors, whose sum is σ = 262944864. Its totient is φ = 17875968.

The previous prime is 71605421. The next prime is 71605441. The reversal of 71605440 is 4450617.

It is not an unprimeable number, because it can be changed into a prime (71605441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523497 + ... + 1523543.

It is an arithmetic number, because the mean of its divisors is an integer number (1043432).

Almost surely, 2^71605440 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 71605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131472432).

71605440 is an abundant number, since it is smaller than the sum of its proper divisors (191339424).

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

71605440 is a wasteful number, since it uses less digits than its factorization.

71605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 71605440 is about 8461.9997636493. Note that the first 3 decimals coincide. The cubic root of 71605440 is about 415.2554482844.

The spelling of 71605440 in words is "seventy-one million, six hundred five thousand, four hundred forty".