71740800 has 288 divisors, whose sum is σ = 266366880. Its totient is φ = 18370560.

The previous prime is 71740787. The next prime is 71740811. The reversal of 71740800 is 804717.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1353574 + ... + 1353626.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^71740800 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 71740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

71740800 is an abundant number, since it is smaller than the sum of its proper divisors (194626080).

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

71740800 is a wasteful number, since it uses less digits than its factorization.

71740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

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

The square root of 71740800 is about 8469.9940968102. The cubic root of 71740800 is about 415.5169442277.

The spelling of 71740800 in words is "seventy-one million, seven hundred forty thousand, eight hundred".