71900400 has 240 divisors, whose sum is σ = 271232640. Its totient is φ = 16051200.

The previous prime is 71900393. The next prime is 71900417. The reversal of 71900400 is 400917.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 171391 + ... + 171809.

It is an arithmetic number, because the mean of its divisors is an integer number (1130136).

Almost surely, 2^71900400 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 71900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135616320).

71900400 is an abundant number, since it is smaller than the sum of its proper divisors (199332240).

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

71900400 is a wasteful number, since it uses less digits than its factorization.

71900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71900400 is about 8479.4103568585. The cubic root of 71900400 is about 415.8248461348.

The spelling of 71900400 in words is "seventy-one million, nine hundred thousand, four hundred".