71916400 has 60 divisors (see below), whose sum is σ = 180314352. Its totient is φ = 27512320.

The previous prime is 71916391. The next prime is 71916421. The reversal of 71916400 is 461917.

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, 5292 + ... + 13108.

Almost surely, 2^71916400 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 71916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90157176).

71916400 is an abundant number, since it is smaller than the sum of its proper divisors (108397952).

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

71916400 is a wasteful number, since it uses less digits than its factorization.

71916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 71916400 is about 8480.3537662057. The cubic root of 71916400 is about 415.8556883559.

The spelling of 71916400 in words is "seventy-one million, nine hundred sixteen thousand, four hundred".