71894880 has 72 divisors (see below), whose sum is σ = 245346192. Its totient is φ = 19171584.

The previous prime is 71894873. The next prime is 71894881. The reversal of 71894880 is 8849817.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71894881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23524 + ... + 26403.

It is an arithmetic number, because the mean of its divisors is an integer number (3407586).

Almost surely, 2^71894880 is an apocalyptic number.

It is an amenable number.

71894880 is an abundant number, since it is smaller than the sum of its proper divisors (173451312).

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

71894880 is a wasteful number, since it uses less digits than its factorization.

71894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49948 (or 49937 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 71894880 is about 8479.0848562802. The cubic root of 71894880 is about 415.8142045070.

The spelling of 71894880 in words is "seventy-one million, eight hundred ninety-four thousand, eight hundred eighty".