71825440 has 48 divisors (see below), whose sum is σ = 173842200. Its totient is φ = 28026880.

The previous prime is 71825417. The next prime is 71825449. The reversal of 71825440 is 4452817.

It can be written as a sum of positive squares in 4 ways, for example, as 19465744 + 52359696 = 4412^2 + 7236^2 .

It is not an unprimeable number, because it can be changed into a prime (71825449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086 + ... + 12034.

Almost surely, 2^71825440 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 71825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86921100).

71825440 is an abundant number, since it is smaller than the sum of its proper divisors (102016760).

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

71825440 is a wasteful number, since it uses less digits than its factorization.

71825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 71825440 is about 8474.9890855387. The cubic root of 71825440 is about 415.6802893639.

The spelling of 71825440 in words is "seventy-one million, eight hundred twenty-five thousand, four hundred forty".