71409600 has 420 divisors, whose sum is σ = 285826200. Its totient is φ = 17418240.

The previous prime is 71409587. The next prime is 71409617. The reversal of 71409600 is 690417.

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462386 + ... + 2462414.

Almost surely, 2^71409600 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 71409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142913100).

71409600 is an abundant number, since it is smaller than the sum of its proper divisors (214416600).

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

71409600 is a wasteful number, since it uses less digits than its factorization.

71409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71409600 is about 8450.4201079000. The cubic root of 71409600 is about 414.8765297759.

The spelling of 71409600 in words is "seventy-one million, four hundred nine thousand, six hundred".