71385600 has 360 divisors, whose sum is σ = 278566992. Its totient is φ = 15974400.

The previous prime is 71385593. The next prime is 71385607. The reversal of 71385600 is 658317.

It is a Cunningham number, because it is equal to 8449²-1.

It is an interprime number because it is at equal distance from previous prime (71385593) and next prime (71385607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71385607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5491194 + ... + 5491206.

Almost surely, 2^71385600 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 71385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139283496).

71385600 is an abundant number, since it is smaller than the sum of its proper divisors (207181392).

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

71385600 is a wasteful number, since it uses less digits than its factorization.

71385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 71385600 is about 8448.9999408214. Note that the first 4 decimals coincide. The cubic root of 71385600 is about 414.8300460520.

The spelling of 71385600 in words is "seventy-one million, three hundred eighty-five thousand, six hundred".