71870400 has 504 divisors, whose sum is σ = 314456064. Its totient is φ = 15206400.

The previous prime is 71870371. The next prime is 71870411. The reversal of 71870400 is 407817.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2318385 + ... + 2318415.

Almost surely, 2^71870400 is an apocalyptic number.

71870400 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 71870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157228032).

71870400 is an abundant number, since it is smaller than the sum of its proper divisors (242585664).

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

71870400 is a wasteful number, since it uses less digits than its factorization.

71870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 71870400 is about 8477.6411813664. The cubic root of 71870400 is about 415.7670046356.

The spelling of 71870400 in words is "seventy-one million, eight hundred seventy thousand, four hundred".