71680000 has 150 divisors (see below), whose sum is σ = 204728216. Its totient is φ = 24576000.

The previous prime is 71679991. The next prime is 71680031. The reversal of 71680000 is 8617.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10239997 + ... + 10240003.

Almost surely, 2^71680000 is an apocalyptic number.

71680000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102364108).

71680000 is an abundant number, since it is smaller than the sum of its proper divisors (133048216).

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

71680000 is an frugal number, since it uses more digits than its factorization.

71680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 71680000 is about 8466.4041954067. The cubic root of 71680000 is about 415.3995281481.

Adding to 71680000 its reverse (8617), we get a palindrome (71688617).

The spelling of 71680000 in words is "seventy-one million, six hundred eighty thousand".