71976800 has 72 divisors (see below), whose sum is σ = 200830896. Its totient is φ = 24675840.

The previous prime is 71976791. The next prime is 71976851. The reversal of 71976800 is 867917.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 827 + ... + 12026.

It is an arithmetic number, because the mean of its divisors is an integer number (2789318).

Almost surely, 2^71976800 is an apocalyptic number.

71976800 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 71976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100415448).

71976800 is an abundant number, since it is smaller than the sum of its proper divisors (128854096).

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

71976800 is a wasteful number, since it uses less digits than its factorization.

71976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880 (or 12867 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 71976800 is about 8483.9141909852. The cubic root of 71976800 is about 415.9720765281.

The spelling of 71976800 in words is "seventy-one million, nine hundred seventy-six thousand, eight hundred".