71038240 has 288 divisors, whose sum is σ = 228042864. Its totient is φ = 20643840.

The previous prime is 71038229. The next prime is 71038259. The reversal of 71038240 is 4283017.

It can be written as a sum of positive squares in 8 ways, for example, as 10010896 + 61027344 = 3164^2 + 7812^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732620 + ... + 1732660.

Almost surely, 2^71038240 is an apocalyptic number.

71038240 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 71038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114021432).

71038240 is an abundant number, since it is smaller than the sum of its proper divisors (157004624).

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

71038240 is a wasteful number, since it uses less digits than its factorization.

71038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 71038240 is about 8428.4185942560. The cubic root of 71038240 is about 414.1561019148.

The spelling of 71038240 in words is "seventy-one million, thirty-eight thousand, two hundred forty".