71972800 has 42 divisors (see below), whose sum is σ = 177102008. Its totient is φ = 28788480.

The previous prime is 71972783. The next prime is 71972891. The reversal of 71972800 is 827917.

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 5 ways as a sum of consecutive naturals, for example, 20892 + ... + 24091.

Almost surely, 2^71972800 is an apocalyptic number.

It is an amenable number.

71972800 is an abundant number, since it is smaller than the sum of its proper divisors (105129208).

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

71972800 is a wasteful number, since it uses less digits than its factorization.

71972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45005 (or 44990 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 71972800 is about 8483.6784474661. The cubic root of 71972800 is about 415.9643707158.

The spelling of 71972800 in words is "seventy-one million, nine hundred seventy-two thousand, eight hundred".