71283360 has 96 divisors (see below), whose sum is σ = 227005632. Its totient is φ = 18800640.

The previous prime is 71283287. The next prime is 71283367. The reversal of 71283360 is 6338217.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71283367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45795 + ... + 47325.

It is an arithmetic number, because the mean of its divisors is an integer number (2364642).

Almost surely, 2^71283360 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 71283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113502816).

71283360 is an abundant number, since it is smaller than the sum of its proper divisors (155722272).

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

71283360 is a wasteful number, since it uses less digits than its factorization.

71283360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 71283360 is about 8442.9473526725. The cubic root of 71283360 is about 414.6319085754.

The spelling of 71283360 in words is "seventy-one million, two hundred eighty-three thousand, three hundred sixty".