71954480 has 80 divisors (see below), whose sum is σ = 184467360. Its totient is φ = 25933824.

The previous prime is 71954479. The next prime is 71954483. The reversal of 71954480 is 8445917.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (71954483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43916 + ... + 45524.

It is an arithmetic number, because the mean of its divisors is an integer number (2305842).

Almost surely, 2^71954480 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 71954480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92233680).

71954480 is an abundant number, since it is smaller than the sum of its proper divisors (112512880).

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

71954480 is a wasteful number, since it uses less digits than its factorization.

71954480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 71954480 is about 8482.5986584301. The cubic root of 71954480 is about 415.9290744468.

The spelling of 71954480 in words is "seventy-one million, nine hundred fifty-four thousand, four hundred eighty".