71487600 has 120 divisors (see below), whose sum is σ = 234745392. Its totient is φ = 18585600.

The previous prime is 71487583. The next prime is 71487613. The reversal of 71487600 is 678417.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×71487600² = 10220953907520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48474 + ... + 49926.

Almost surely, 2^71487600 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 71487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117372696).

71487600 is an abundant number, since it is smaller than the sum of its proper divisors (163257792).

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

71487600 is a wasteful number, since it uses less digits than its factorization.

71487600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 71487600 is about 8455.0340034798. The cubic root of 71487600 is about 415.0275299877.

The spelling of 71487600 in words is "seventy-one million, four hundred eighty-seven thousand, six hundred".