71896800 has 144 divisors (see below), whose sum is σ = 242328240. Its totient is φ = 18493440.

The previous prime is 71896787. The next prime is 71896813. The reversal of 71896800 is 869817.

It is an interprime number because it is at equal distance from previous prime (71896787) and next prime (71896813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69084 + ... + 70116.

It is an arithmetic number, because the mean of its divisors is an integer number (1682835).

Almost surely, 2^71896800 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 71896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121164120).

71896800 is an abundant number, since it is smaller than the sum of its proper divisors (170431440).

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

71896800 is a wasteful number, since it uses less digits than its factorization.

71896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 71896800 is about 8479.1980752899. The cubic root of 71896800 is about 415.8179060046.

The spelling of 71896800 in words is "seventy-one million, eight hundred ninety-six thousand, eight hundred".