71082400 has 36 divisors (see below), whose sum is σ = 173531862. Its totient is φ = 28432640.

The previous prime is 71082391. The next prime is 71082409. The reversal of 71082400 is 428017.

It is an interprime number because it is at equal distance from previous prime (71082391) and next prime (71082409).

It can be written as a sum of positive squares in 3 ways, for example, as 69155856 + 1926544 = 8316^2 + 1388^2 .

It is not an unprimeable number, because it can be changed into a prime (71082409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43627 + ... + 45226.

Almost surely, 2^71082400 is an apocalyptic number.

It is an amenable number.

71082400 is an abundant number, since it is smaller than the sum of its proper divisors (102449462).

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

71082400 is a wasteful number, since it uses less digits than its factorization.

71082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88873 (or 88860 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 71082400 is about 8431.0378957753. The cubic root of 71082400 is about 414.2419023937.

The spelling of 71082400 in words is "seventy-one million, eighty-two thousand, four hundred".