71364480 has 256 divisors, whose sum is σ = 258508800. Its totient is φ = 16588800.

The previous prime is 71364467. The next prime is 71364481. The reversal of 71364480 is 8446317.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71364481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654666 + ... + 654774.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^71364480 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 71364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254400).

71364480 is an abundant number, since it is smaller than the sum of its proper divisors (187144320).

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

71364480 is a wasteful number, since it uses less digits than its factorization.

71364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 71364480 is about 8447.7499963008. The cubic root of 71364480 is about 414.7891317558.

The spelling of 71364480 in words is "seventy-one million, three hundred sixty-four thousand, four hundred eighty".