71056440 has 320 divisors, whose sum is σ = 295162560. Its totient is φ = 14929920.

The previous prime is 71056439. The next prime is 71056459. The reversal of 71056440 is 4465017.

71056440 is a `hidden beast` number, since 7 + 10 + 5 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294720 + ... + 294960.

It is an arithmetic number, because the mean of its divisors is an integer number (922383).

Almost surely, 2^71056440 is an apocalyptic number.

71056440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147581280).

71056440 is an abundant number, since it is smaller than the sum of its proper divisors (224106120).

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

71056440 is a wasteful number, since it uses less digits than its factorization.

71056440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

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

The square root of 71056440 is about 8429.4982057060. The cubic root of 71056440 is about 414.1914678315.

The spelling of 71056440 in words is "seventy-one million, fifty-six thousand, four hundred forty".